Given numbers are 464,878,504,968,712

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

The LCM of 464,878,504,968,712 is 138196940112.

Find LCM of 464,878,504,968,712 with Prime Factorization

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

2 x 2 x 2 x 58 x 439 x 63 x 121 x 89 = 138196940112

Therefore, the lowest common multiple of 464,878,504,968,712 is 138196940112.

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.

464 x 878 x 504 x 968 x 712 = 141513666674688

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

878 : 1, 2, 439, 878

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

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

712 : 1, 2, 4, 8, 89, 178, 356, 712

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,878,504,968,712, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

878:2x 439

504:2x 2x 2x 3x 3x 7

968:2x 2x 2x 11x 11

712:2x 2x 2x 89

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 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 141513666674688/(2x512)

LCM = 141513666674688/1024

LCM = 138196940112

Thus, we can understand that the LCM of 464,878,504,968,712 is 138196940112.

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

• LCM of 785, 916, 853, 828, 426
• LCM of 280, 128, 279, 249, 622
• LCM of 645, 563, 821, 584, 139
• LCM of 779, 241, 927, 765, 903
• LCM of 801, 840, 558, 141, 805

1. What is the LCM of 464, 878, 504, 968, 712?

Answer: LCM of 464, 878, 504, 968, 712 is 138196940112.

2. How to calculate the LCM of 464, 878, 504, 968, 712?

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 464, 878, 504, 968, 712.

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}.