Given numbers are 913,728,938,793,920

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

The LCM of 913,728,938,793,920 is 312395403320.

Find LCM of 913,728,938,793,920 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 913 x 1 x 67 x 61 x 115 = 312395403320

Therefore, the lowest common multiple of 913,728,938,793,920 is 312395403320.

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.

913 x 728 x 938 x 793 x 920 = 454847707233920

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.

913 : 1, 11, 83, 913

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

938 : 1, 2, 7, 14, 67, 134, 469, 938

793 : 1, 13, 61, 793

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,728,938,793,920, is 1.

Now, the common factors can be found like this.

913:11x 83

728:2x 2x 2x 7x 13

938:2x 7x 67

793:13x 61

920:2x 2x 2x 5x 23

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 7x 13 = 1456

Therefore, the value for common factors is 1456.

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 = 454847707233920/(1x1456)

LCM = 454847707233920/1456

LCM = 312395403320

Thus, we can understand that the LCM of 913,728,938,793,920 is 312395403320.

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

• LCM of 516, 407, 195, 203, 336
• LCM of 442, 758, 801, 614, 995
• LCM of 289, 471, 927, 258, 671
• LCM of 123, 804, 749, 969, 817
• LCM of 185, 737, 413, 734, 279

1. What is the LCM of 913, 728, 938, 793, 920?

Answer: LCM of 913, 728, 938, 793, 920 is 312395403320.

2. How to calculate the LCM of 913, 728, 938, 793, 920?

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 913, 728, 938, 793, 920.

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}.