Least common multiple of 358, least common multiple of 345

The least common multiple of 345 is 60. Let me first talk about the method of finding the least common multiple of several numbers, the least common multiple of the number of numbers and the number of picos is the product of the common prime factors of these numbers and their unique prime factors.

Common multiples refer to two or more natural numbers, if they have the same multiple, these multiples are called the difference is their common multiple.

The least common multiple of 345 is 60.

Ideas for solving the problem

The three numbers are prime numbers with each other, and the common factor of the three numbers is 1. The least common multiple is the product of three numbers, i.e. 3x4x5=60. Therefore, the least common multiple is 60.

Least common multiple

The common multiple of two or more integers is called their common multiple, and the smallest common multiple other than 0 is called the least common multiple of these integers.

How to find the least common multiple

The enumeration method is to list the multiples of several numbers separately, and then pick out their common multiples, so that the smallest number in their common multiples is the least common multiple.

Coprime method: If two numbers have only a common factor of 1, their least common multiple is the product of these two numbers.

In the multiples method, in two numbers, the number that is older is a multiple of the smaller number, then their least common multiple is the larger number.

In the doubling method, the larger number of several numbers is doubled, and if the doubled number is a multiple of the smaller number, this number is their least common multiple.

In short division, when the last two quotients are divided by a common factor of 1, the divisor and the quotient are multiplied together, which is their least common multiple.

Divide by the method of the greatest common factor of the Sparrow. Greatest common factor x least common multiple = product of two numbers, then least common multiple is the product of two numbers, and the greatest common factor.

Scope of application of least common multiples

Addition and subtraction of fractions, Chinese remainder theorem (the correct problem has a solution within the least common multiple, and there is a unique solution). Because, a prime number is a number that is not divisible by numbers other than 1 and its own number; The prime number x to the nth power is divisible only by the n of x and the power below the acacia, 1 and its own number.

The product of two natural numbers is equal to the product of the greatest common divisor and the least common multiple of these two natural numbers. In the calculation of the least common multiple, it is necessary to find all the common prime factors and unique prime factors of the three numbers, and finally divide them until they are mutually primary.

Hello, the least common multiple of 78 and 352 is 1408, and the family excitation solution process is as follows: First, list the multiple sequence of 78 and 352: the multiple sequence of 78:

78, 156, 234, 312, 390, 468, 546, 624, 702, 780, .The ploidy panicle number sequence of 352: 352, 704, 1056, 1408, 1760, 2112, 2464, 2816, 3168, 3520, .,

We can find that their first common multiple is 1408. Therefore, the least common multiple of 78 and 352 is 1408. <>

Therefore, the least common multiple of 100 and 358: 2*2*5*5*179=17900

17 and 19 are both prime numbers, so the least scattered common multiple of the two = 2 * 17 * 19 = 646

Because 734 is prime with each other, their least common multiple should be equal to seven times, 3 4 = 84

You only need to see that the mantissa is plural, and it is divisible by 2. So 2 is the least common multiple.

The least common multiple of 734 is itself, which is 734.

33. The least common multiple of the width of 55 (165).

33 = 11 3, 55 = 11 5, least common multiple = 11 5 3 = 165

Answer: 33, the smallest common multiple of 55 is 165

The least common multiple of 354 can be found by factoring the prime factor.

First, decompose 354 into prime factor:

You can then list the common multiples of and find the smallest one. The common multiples of these numbers can be obtained by multiplying their prime factors. Therefore, the common multiple of can be expressed as:

where k is a positive integer.

Then, you can divide the common multiples of by their respective factors to get:

Common multiple of 354: 354 k

Common multiple of 2: 2 k

Common multiples of 3: 3 k

Common multiple of 59: 59 k

Thus the least common multiple of is the product of their common factor and the remaining factors, i.e.,

2 3 59 k = 354 k Therefore, the least common multiple of 354 is 354 2 3 59 = 12522.