Given numbers are 442,902,572,458,612

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

The LCM of 442,902,572,458,612 is 821687724.

Find LCM of 442,902,572,458,612 with Prime Factorization

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

2 x 2 x 11 x 13 x 17 x 1 x 41 x 1 x 229 x 9 = 821687724

Therefore, the lowest common multiple of 442,902,572,458,612 is 821687724.

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.

442 x 902 x 572 x 458 x 612 = 63920731425408

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

902 : 1, 2, 11, 22, 41, 82, 451, 902

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

458 : 1, 2, 229, 458

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,902,572,458,612, is 2.

Now, the common factors can be found like this.

442:2x 13x 17

902:2x 11x 41

572:2x 2x 11x 13

458:2x 229

612:2x 2x 3x 3x 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 11x 13x 17 = 38896

Therefore, the value for common factors is 38896.

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 = 63920731425408/(2x38896)

LCM = 63920731425408/77792

LCM = 821687724

Thus, we can understand that the LCM of 442,902,572,458,612 is 821687724.

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

• LCM of 568, 295, 965, 194, 383
• LCM of 877, 589, 985, 180, 770
• LCM of 465, 193, 602, 390, 170
• LCM of 144, 595, 421, 728, 153
• LCM of 289, 203, 277, 181, 677

1. What is the LCM of 442, 902, 572, 458, 612?

Answer: LCM of 442, 902, 572, 458, 612 is 821687724.

2. How to calculate the LCM of 442, 902, 572, 458, 612?

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 442, 902, 572, 458, 612.

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}.