Given numbers are 107,688,832,473,689

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

The LCM of 107,688,832,473,689 is 2231742656.

Find LCM of 107,688,832,473,689 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 43 x 107 x 1 x 4 x 11 x 53 = 2231742656

Therefore, the lowest common multiple of 107,688,832,473,689 is 2231742656.

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 688 x 832 x 473 x 689 = 19960706315264

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

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

473 : 1, 11, 43, 473

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,688,832,473,689, is 1.

Now, the common factors can be found like this.

107:107

688:2x 2x 2x 2x 43

832:2x 2x 2x 2x 2x 2x 13

473:11x 43

689:13x 53

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 13x 43 = 8944

Therefore, the value for common factors is 8944.

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 = 19960706315264/(1x8944)

LCM = 19960706315264/8944

LCM = 2231742656

Thus, we can understand that the LCM of 107,688,832,473,689 is 2231742656.

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

• LCM of 259, 949, 866, 624, 769
• LCM of 436, 669, 637, 265, 383
• LCM of 908, 510, 997, 163, 152
• LCM of 126, 997, 536, 617, 816
• LCM of 914, 498, 371, 725, 896

1. What is the LCM of 107, 688, 832, 473, 689?

Answer: LCM of 107, 688, 832, 473, 689 is 2231742656.

2. How to calculate the LCM of 107, 688, 832, 473, 689?

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, 688, 832, 473, 689.

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}.