Given numbers are 107,684,634,728

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

The LCM of 107,684,634,728 is 4222508472.

Find LCM of 107,684,634,728 with Prime Factorization

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

2 x 2 x 107 x 171 x 317 x 182 = 4222508472

Therefore, the lowest common multiple of 107,684,634,728 is 4222508472.

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 684 x 634 x 728 = 33780067776

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

634 : 1, 2, 317, 634

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,684,634,728, is 1.

Now, the common factors can be found like this.

107:107

684:2x 2x 3x 3x 19

634:2x 317

728:2x 2x 2x 7x 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 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 = 33780067776/(1x8)

LCM = 33780067776/8

LCM = 4222508472

Thus, we can understand that the LCM of 107,684,634,728 is 4222508472.

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

• LCM of 839, 466, 146, 909
• LCM of 936, 354, 771, 617
• LCM of 443, 838, 187, 504
• LCM of 624, 730, 361, 647
• LCM of 540, 729, 594, 386

1. What is the LCM of 107, 684, 634, 728?

Answer: LCM of 107, 684, 634, 728 is 4222508472.

2. How to calculate the LCM of 107, 684, 634, 728?

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, 684, 634, 728.

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}.