Given numbers are 968,478,239,672,420

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

The LCM of 968,478,239,672,420 is 97167840.

Find LCM of 968,478,239,672,420 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 239 x 121 x 1 x 1 x 4 x 5 = 97167840

Therefore, the lowest common multiple of 968,478,239,672,420 is 97167840.

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.

968 x 478 x 239 x 672 x 420 = 31211864893440

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.

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

478 : 1, 2, 239, 478

239 : 1, 239

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,478,239,672,420, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

478:2x 239

239:239

672:2x 2x 2x 2x 2x 3x 7

420:2x 2x 3x 5x 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 2x 3x 7x 239 = 321216

Therefore, the value for common factors is 321216.

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 = 31211864893440/(1x321216)

LCM = 31211864893440/321216

LCM = 97167840

Thus, we can understand that the LCM of 968,478,239,672,420 is 97167840.

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

• LCM of 871, 352, 570, 921, 787
• LCM of 897, 683, 287, 627, 171
• LCM of 954, 292, 865, 477, 985
• LCM of 804, 332, 593, 528, 675
• LCM of 488, 301, 497, 465, 791

1. What is the LCM of 968, 478, 239, 672, 420?

Answer: LCM of 968, 478, 239, 672, 420 is 97167840.

2. How to calculate the LCM of 968, 478, 239, 672, 420?

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 968, 478, 239, 672, 420.

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}.