Given numbers are 456,772,684,380

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

The LCM of 456,772,684,380 is 1320120.

Find LCM of 456,772,684,380 with Prime Factorization

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

2 x 2 x 3 x 19 x 2 x 193 x 3 x 5 = 1320120

Therefore, the lowest common multiple of 456,772,684,380 is 1320120.

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.

456 x 772 x 684 x 380 = 91500157440

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

772 : 1, 2, 4, 193, 386, 772

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,772,684,380, is 4.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

772:2x 2x 193

684:2x 2x 3x 3x 19

380:2x 2x 5x 19

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 19x 19 = 17328

Therefore, the value for common factors is 17328.

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 = 91500157440/(4x17328)

LCM = 91500157440/69312

LCM = 1320120

Thus, we can understand that the LCM of 456,772,684,380 is 1320120.

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

• LCM of 953, 341, 103, 973
• LCM of 192, 832, 228, 118
• LCM of 125, 491, 154, 795
• LCM of 654, 567, 948, 280
• LCM of 948, 474, 359, 789

1. What is the LCM of 456, 772, 684, 380?

Answer: LCM of 456, 772, 684, 380 is 1320120.

2. How to calculate the LCM of 456, 772, 684, 380?

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 456, 772, 684, 380.

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}.