Given numbers are 106,714,676,671,746

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

The LCM of 106,714,676,671,746 is 3201268738668.

Find LCM of 106,714,676,671,746 with Prime Factorization

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

2 x 53 x 357 x 338 x 671 x 373 = 3201268738668

Therefore, the lowest common multiple of 106,714,676,671,746 is 3201268738668.

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.

106 x 714 x 676 x 671 x 746 = 25610149909344

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.

106 : 1, 2, 53, 106

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

671 : 1, 11, 61, 671

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,714,676,671,746, is 1.

Now, the common factors can be found like this.

106:2x 53

714:2x 3x 7x 17

676:2x 2x 13x 13

671:11x 61

746:2x 373

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 2 = 8

Therefore, the value for common factors is 8.

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 = 25610149909344/(1x8)

LCM = 25610149909344/8

LCM = 3201268738668

Thus, we can understand that the LCM of 106,714,676,671,746 is 3201268738668.

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

• LCM of 123, 977, 185, 282, 784
• LCM of 730, 696, 783, 457, 219
• LCM of 120, 710, 595, 976, 564
• LCM of 776, 870, 506, 878, 865
• LCM of 331, 792, 791, 829, 538

1. What is the LCM of 106, 714, 676, 671, 746?

Answer: LCM of 106, 714, 676, 671, 746 is 3201268738668.

2. How to calculate the LCM of 106, 714, 676, 671, 746?

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 106, 714, 676, 671, 746.

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}.