Given numbers are 564,756,971,408,660

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

The LCM of 564,756,971,408,660 is 64517939640.

Find LCM of 564,756,971,408,660 with Prime Factorization

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

2 x 2 x 3 x 47 x 63 x 971 x 34 x 55 = 64517939640

Therefore, the lowest common multiple of 564,756,971,408,660 is 64517939640.

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 756 x 971 x 408 x 660 = 111486999697920

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

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

971 : 1, 971

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,756,971,408,660, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

756:2x 2x 3x 3x 3x 7

971:971

408:2x 2x 2x 3x 17

660:2x 2x 3x 5x 11

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 2x 2x 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 111486999697920/(1x1728)

LCM = 111486999697920/1728

LCM = 64517939640

Thus, we can understand that the LCM of 564,756,971,408,660 is 64517939640.

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

• LCM of 952, 732, 580, 198, 972
• LCM of 189, 492, 176, 731, 701
• LCM of 498, 893, 883, 585, 789
• LCM of 116, 561, 863, 937, 525
• LCM of 563, 289, 751, 596, 877

1. What is the LCM of 564, 756, 971, 408, 660?

Answer: LCM of 564, 756, 971, 408, 660 is 64517939640.

2. How to calculate the LCM of 564, 756, 971, 408, 660?

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, 756, 971, 408, 660.

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}.