Given numbers are 516,426,324,708,968

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

The LCM of 516,426,324,708,968 is 14123397816.

Find LCM of 516,426,324,708,968 with Prime Factorization

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

2 x 2 x 3 x 43 x 71 x 27 x 59 x 242 = 14123397816

Therefore, the lowest common multiple of 516,426,324,708,968 is 14123397816.

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.

516 x 426 x 324 x 708 x 968 = 48810462852096

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.

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

426 : 1, 2, 3, 6, 71, 142, 213, 426

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

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,426,324,708,968, is 2.

Now, the common factors can be found like this.

516:2x 2x 3x 43

426:2x 3x 71

324:2x 2x 3x 3x 3x 3

708:2x 2x 3x 59

968:2x 2x 2x 11x 11

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 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 48810462852096/(2x1728)

LCM = 48810462852096/3456

LCM = 14123397816

Thus, we can understand that the LCM of 516,426,324,708,968 is 14123397816.

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

• LCM of 987, 982, 265, 740, 516
• LCM of 229, 198, 210, 362, 664
• LCM of 968, 862, 811, 521, 168
• LCM of 932, 281, 568, 511, 422
• LCM of 494, 164, 332, 272, 232

1. What is the LCM of 516, 426, 324, 708, 968?

Answer: LCM of 516, 426, 324, 708, 968 is 14123397816.

2. How to calculate the LCM of 516, 426, 324, 708, 968?

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 516, 426, 324, 708, 968.

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}.