Given numbers are 756,937,244,988,312

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

The LCM of 756,937,244,988,312 is 21346081848.

Find LCM of 756,937,244,988,312 with Prime Factorization

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

2 x 2 x 3 x 13 x 63 x 937 x 61 x 19 x 2 = 21346081848

Therefore, the lowest common multiple of 756,937,244,988,312 is 21346081848.

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.

756 x 937 x 244 x 988 x 312 = 53279820292608

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.

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

937 : 1, 937

244 : 1, 2, 4, 61, 122, 244

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,937,244,988,312, is 1.

Now, the common factors can be found like this.

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

937:937

244:2x 2x 61

988:2x 2x 13x 19

312:2x 2x 2x 3x 13

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 13 = 2496

Therefore, the value for common factors is 2496.

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 = 53279820292608/(1x2496)

LCM = 53279820292608/2496

LCM = 21346081848

Thus, we can understand that the LCM of 756,937,244,988,312 is 21346081848.

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

• LCM of 240, 253, 159, 611, 528
• LCM of 829, 782, 138, 686, 683
• LCM of 287, 529, 276, 553, 556
• LCM of 399, 889, 767, 114, 459
• LCM of 349, 935, 138, 341, 622

1. What is the LCM of 756, 937, 244, 988, 312?

Answer: LCM of 756, 937, 244, 988, 312 is 21346081848.

2. How to calculate the LCM of 756, 937, 244, 988, 312?

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 756, 937, 244, 988, 312.

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}.