Given numbers are 518,684,689,946,478

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

The LCM of 518,684,689,946,478 is 13798571534748.

Find LCM of 518,684,689,946,478 with Prime Factorization

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

2 x 259 x 342 x 689 x 473 x 239 = 13798571534748

Therefore, the lowest common multiple of 518,684,689,946,478 is 13798571534748.

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 684 x 689 x 946 x 478 = 110388572277984

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

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

689 : 1, 13, 53, 689

946 : 1, 2, 11, 22, 43, 86, 473, 946

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,684,689,946,478, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

684:2x 2x 3x 3x 19

689:13x 53

946:2x 11x 43

478:2x 239

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 2 = 8

Therefore, the value for common factors is 8.

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 = 110388572277984/(1x8)

LCM = 110388572277984/8

LCM = 13798571534748

Thus, we can understand that the LCM of 518,684,689,946,478 is 13798571534748.

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

• LCM of 907, 651, 219, 889, 675
• LCM of 587, 145, 281, 263, 290
• LCM of 549, 619, 439, 965, 122
• LCM of 672, 376, 729, 838, 748
• LCM of 809, 893, 276, 655, 577

1. What is the LCM of 518, 684, 689, 946, 478?

Answer: LCM of 518, 684, 689, 946, 478 is 13798571534748.

2. How to calculate the LCM of 518, 684, 689, 946, 478?

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, 684, 689, 946, 478.

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}.