Given numbers are 516,952,379,566,748

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

The LCM of 516,952,379,566,748 is 144892194216.

Find LCM of 516,952,379,566,748 with Prime Factorization

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

2 x 2 x 17 x 129 x 14 x 379 x 283 x 11 = 144892194216

Therefore, the lowest common multiple of 516,952,379,566,748 is 144892194216.

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 952 x 379 x 566 x 748 = 78821353653504

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

379 : 1, 379

566 : 1, 2, 283, 566

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,952,379,566,748, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

952:2x 2x 2x 7x 17

379:379

566:2x 283

748:2x 2x 11x 17

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 17 = 544

Therefore, the value for common factors is 544.

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 = 78821353653504/(1x544)

LCM = 78821353653504/544

LCM = 144892194216

Thus, we can understand that the LCM of 516,952,379,566,748 is 144892194216.

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

• LCM of 360, 104, 429, 187, 729
• LCM of 498, 293, 559, 748, 842
• LCM of 720, 953, 902, 732, 493
• LCM of 985, 863, 225, 343, 684
• LCM of 545, 805, 538, 536, 997

1. What is the LCM of 516, 952, 379, 566, 748?

Answer: LCM of 516, 952, 379, 566, 748 is 144892194216.

2. How to calculate the LCM of 516, 952, 379, 566, 748?

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, 952, 379, 566, 748.

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}.