Given numbers are 564,436,646,107

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 564,436,646,107 is 2124672036.

Find LCM of 564,436,646,107 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 141 x 109 x 323 x 107 = 2124672036

Therefore, the lowest common multiple of 564,436,646,107 is 2124672036.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

564 x 436 x 646 x 107 = 16997376288

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

436 : 1, 2, 4, 109, 218, 436

646 : 1, 2, 17, 19, 34, 38, 323, 646

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,436,646,107, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

436:2x 2x 109

646:2x 17x 19

107:107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2 = 8

Therefore, the value for common factors is 8.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 16997376288/(1x8)

LCM = 16997376288/8

LCM = 2124672036

Thus, we can understand that the LCM of 564,436,646,107 is 2124672036.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 765, 136, 768, 188
• LCM of 307, 844, 952, 930
• LCM of 692, 323, 340, 830
• LCM of 401, 359, 852, 579
• LCM of 411, 314, 843, 994

1. What is the LCM of 564, 436, 646, 107?

Answer: LCM of 564, 436, 646, 107 is 2124672036.

2. How to calculate the LCM of 564, 436, 646, 107?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 564, 436, 646, 107.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.