Given numbers are 976,532,988,817,912

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

The LCM of 976,532,988,817,912 is 217688016.

Find LCM of 976,532,988,817,912 with Prime Factorization

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

2 x 2 x 2 x 2 x 19 x 61 x 7 x 13 x 43 x 3 = 217688016

Therefore, the lowest common multiple of 976,532,988,817,912 is 217688016.

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.

976 x 532 x 988 x 817 x 912 = 382239258046464

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

817 : 1, 19, 43, 817

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,532,988,817,912, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

532:2x 2x 7x 19

988:2x 2x 13x 19

817:19x 43

912:2x 2x 2x 2x 3x 19

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 2x 2x 19x 19x 19 = 1755904

Therefore, the value for common factors is 1755904.

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 = 382239258046464/(1x1755904)

LCM = 382239258046464/1755904

LCM = 217688016

Thus, we can understand that the LCM of 976,532,988,817,912 is 217688016.

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

• LCM of 283, 866, 955, 495, 909
• LCM of 317, 340, 279, 813, 810
• LCM of 883, 261, 607, 425, 819
• LCM of 833, 198, 919, 200, 978
• LCM of 455, 622, 779, 152, 498

1. What is the LCM of 976, 532, 988, 817, 912?

Answer: LCM of 976, 532, 988, 817, 912 is 217688016.

2. How to calculate the LCM of 976, 532, 988, 817, 912?

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 976, 532, 988, 817, 912.

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}.