Given numbers are 468,216,572,577,149

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

The LCM of 468,216,572,577,149 is 2655534024.

Find LCM of 468,216,572,577,149 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 1 x 6 x 11 x 577 x 149 = 2655534024

Therefore, the lowest common multiple of 468,216,572,577,149 is 2655534024.

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.

468 x 216 x 572 x 577 x 149 = 4971159692928

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

577 : 1, 577

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,216,572,577,149, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

216:2x 2x 2x 3x 3x 3

572:2x 2x 11x 13

577:577

149:149

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 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 4971159692928/(1x1872)

LCM = 4971159692928/1872

LCM = 2655534024

Thus, we can understand that the LCM of 468,216,572,577,149 is 2655534024.

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

• LCM of 851, 328, 760, 416, 369
• LCM of 939, 722, 248, 132, 949
• LCM of 343, 780, 219, 631, 136
• LCM of 777, 327, 788, 490, 170
• LCM of 321, 527, 523, 671, 353

1. What is the LCM of 468, 216, 572, 577, 149?

Answer: LCM of 468, 216, 572, 577, 149 is 2655534024.

2. How to calculate the LCM of 468, 216, 572, 577, 149?

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 468, 216, 572, 577, 149.

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}.