Given numbers are 518,952,108,257,714

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

The LCM of 518,952,108,257,714 is 244419336.

Find LCM of 518,952,108,257,714 with Prime Factorization

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

2 x 2 x 3 x 7 x 17 x 37 x 2 x 9 x 257 x 1 = 244419336

Therefore, the lowest common multiple of 518,952,108,257,714 is 244419336.

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.

518 x 952 x 108 x 257 x 714 = 9772862730624

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

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

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

257 : 1, 257

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,952,108,257,714, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

952:2x 2x 2x 7x 17

108:2x 2x 3x 3x 3

257:257

714:2x 3x 7x 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 3x 7x 7x 17 = 39984

Therefore, the value for common factors is 39984.

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 = 9772862730624/(1x39984)

LCM = 9772862730624/39984

LCM = 244419336

Thus, we can understand that the LCM of 518,952,108,257,714 is 244419336.

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

• LCM of 117, 809, 199, 311, 949
• LCM of 410, 416, 907, 916, 104
• LCM of 811, 586, 485, 864, 797
• LCM of 141, 235, 591, 522, 602
• LCM of 942, 787, 233, 665, 344

1. What is the LCM of 518, 952, 108, 257, 714?

Answer: LCM of 518, 952, 108, 257, 714 is 244419336.

2. How to calculate the LCM of 518, 952, 108, 257, 714?

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 518, 952, 108, 257, 714.

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}.