Given numbers are 107,468,988,642,984

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

The LCM of 107,468,988,642,984 is 78018408.

Find LCM of 107,468,988,642,984 with Prime Factorization

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

2 x 2 x 3 x 13 x 107 x 1 x 3 x 19 x 1 x 82 = 78018408

Therefore, the lowest common multiple of 107,468,988,642,984 is 78018408.

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.

107 x 468 x 988 x 642 x 984 = 31254798392064

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.

107 : 1, 107

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,468,988,642,984, is 1.

Now, the common factors can be found like this.

107:107

468:2x 2x 3x 3x 13

988:2x 2x 13x 19

642:2x 3x 107

984:2x 2x 2x 3x 41

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 3x 3x 13x 107 = 400608

Therefore, the value for common factors is 400608.

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 = 31254798392064/(1x400608)

LCM = 31254798392064/400608

LCM = 78018408

Thus, we can understand that the LCM of 107,468,988,642,984 is 78018408.

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

• LCM of 187, 763, 484, 604, 676
• LCM of 788, 956, 171, 379, 379
• LCM of 397, 456, 248, 386, 705
• LCM of 925, 253, 410, 189, 910
• LCM of 256, 415, 477, 478, 210

1. What is the LCM of 107, 468, 988, 642, 984?

Answer: LCM of 107, 468, 988, 642, 984 is 78018408.

2. How to calculate the LCM of 107, 468, 988, 642, 984?

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 107, 468, 988, 642, 984.

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}.