Given numbers are 772,938,416,117,980

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

The LCM of 772,938,416,117,980 is 11861347680.

Find LCM of 772,938,416,117,980 with Prime Factorization

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

2 x 2 x 7 x 13 x 193 x 67 x 8 x 9 x 35 = 11861347680

Therefore, the lowest common multiple of 772,938,416,117,980 is 11861347680.

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.

772 x 938 x 416 x 117 x 980 = 34540244444160

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.

772 : 1, 2, 4, 193, 386, 772

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

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

117 : 1, 3, 9, 13, 39, 117

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,938,416,117,980, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

938:2x 7x 67

416:2x 2x 2x 2x 2x 13

117:3x 3x 13

980:2x 2x 5x 7x 7

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 7x 13 = 2912

Therefore, the value for common factors is 2912.

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 = 34540244444160/(1x2912)

LCM = 34540244444160/2912

LCM = 11861347680

Thus, we can understand that the LCM of 772,938,416,117,980 is 11861347680.

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

• LCM of 143, 204, 504, 179, 532
• LCM of 588, 645, 675, 934, 708
• LCM of 860, 540, 774, 915, 172
• LCM of 252, 266, 294, 516, 361
• LCM of 612, 285, 956, 518, 142

1. What is the LCM of 772, 938, 416, 117, 980?

Answer: LCM of 772, 938, 416, 117, 980 is 11861347680.

2. How to calculate the LCM of 772, 938, 416, 117, 980?

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 772, 938, 416, 117, 980.

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}.