Given numbers are 972,331,798,484,672

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

The LCM of 972,331,798,484,672 is 41421064608.

Find LCM of 972,331,798,484,672 with Prime Factorization

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

2 x 2 x 3 x 7 x 81 x 331 x 19 x 121 x 8 = 41421064608

Therefore, the lowest common multiple of 972,331,798,484,672 is 41421064608.

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.

972 x 331 x 798 x 484 x 672 = 83504866249728

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

331 : 1, 331

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,331,798,484,672, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

331:331

798:2x 3x 7x 19

484:2x 2x 11x 11

672:2x 2x 2x 2x 2x 3x 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 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 83504866249728/(1x2016)

LCM = 83504866249728/2016

LCM = 41421064608

Thus, we can understand that the LCM of 972,331,798,484,672 is 41421064608.

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

• LCM of 160, 707, 742, 995, 470
• LCM of 780, 998, 822, 234, 183
• LCM of 933, 534, 671, 546, 763
• LCM of 240, 765, 181, 685, 865
• LCM of 275, 743, 121, 796, 368

1. What is the LCM of 972, 331, 798, 484, 672?

Answer: LCM of 972, 331, 798, 484, 672 is 41421064608.

2. How to calculate the LCM of 972, 331, 798, 484, 672?

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 972, 331, 798, 484, 672.

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}.