Given numbers are 684,977,728,518

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

The LCM of 684,977,728,518 is 4500116712.

Find LCM of 684,977,728,518 with Prime Factorization

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

2 x 2 x 7 x 171 x 977 x 26 x 37 = 4500116712

Therefore, the lowest common multiple of 684,977,728,518 is 4500116712.

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.

684 x 977 x 728 x 518 = 252006535872

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.

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

977 : 1, 977

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,977,728,518, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

977:977

728:2x 2x 2x 7x 13

518:2x 7x 37

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 7 = 56

Therefore, the value for common factors is 56.

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 = 252006535872/(1x56)

LCM = 252006535872/56

LCM = 4500116712

Thus, we can understand that the LCM of 684,977,728,518 is 4500116712.

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

• LCM of 742, 568, 397, 145
• LCM of 190, 793, 239, 340
• LCM of 934, 201, 994, 373
• LCM of 800, 243, 328, 456
• LCM of 124, 123, 662, 345

1. What is the LCM of 684, 977, 728, 518?

Answer: LCM of 684, 977, 728, 518 is 4500116712.

2. How to calculate the LCM of 684, 977, 728, 518?

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 684, 977, 728, 518.

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}.