Given numbers are 968,463,414,352,504

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

The LCM of 968,463,414,352,504 is 2597674464.

Find LCM of 968,463,414,352,504 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 11 x 463 x 23 x 4 x 7 = 2597674464

Therefore, the lowest common multiple of 968,463,414,352,504 is 2597674464.

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 463 x 414 x 352 x 504 = 32917730807808

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

463 : 1, 463

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,463,414,352,504, is 1.

Now, the common factors can be found like this.

968:2x 2x 2x 11x 11

463:463

414:2x 3x 3x 23

352:2x 2x 2x 2x 2x 11

504:2x 2x 2x 3x 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 2x 2x 3x 3x 11 = 12672

Therefore, the value for common factors is 12672.

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 = 32917730807808/(1x12672)

LCM = 32917730807808/12672

LCM = 2597674464

Thus, we can understand that the LCM of 968,463,414,352,504 is 2597674464.

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

• LCM of 284, 627, 524, 592, 917
• LCM of 820, 236, 449, 100, 845
• LCM of 383, 590, 599, 118, 175
• LCM of 976, 411, 255, 970, 596
• LCM of 419, 919, 485, 325, 922

1. What is the LCM of 968, 463, 414, 352, 504?

Answer: LCM of 968, 463, 414, 352, 504 is 2597674464.

2. How to calculate the LCM of 968, 463, 414, 352, 504?

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, 463, 414, 352, 504.

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}.