Given numbers are 724,968,286,572,442

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

The LCM of 724,968,286,572,442 is 38720968.

Find LCM of 724,968,286,572,442 with Prime Factorization

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

2 x 2 x 11 x 13 x 181 x 22 x 1 x 1 x 17 = 38720968

Therefore, the lowest common multiple of 724,968,286,572,442 is 38720968.

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.

724 x 968 x 286 x 572 x 442 = 50675524776448

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.

724 : 1, 2, 4, 181, 362, 724

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

286 : 1, 2, 11, 13, 22, 26, 143, 286

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,968,286,572,442, is 2.

Now, the common factors can be found like this.

724:2x 2x 181

968:2x 2x 2x 11x 11

286:2x 11x 13

572:2x 2x 11x 13

442:2x 13x 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 2x 11x 11x 13x 13 = 654368

Therefore, the value for common factors is 654368.

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 = 50675524776448/(2x654368)

LCM = 50675524776448/1308736

LCM = 38720968

Thus, we can understand that the LCM of 724,968,286,572,442 is 38720968.

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

• LCM of 503, 325, 613, 248, 263
• LCM of 701, 462, 859, 541, 379
• LCM of 103, 191, 523, 846, 145
• LCM of 457, 540, 491, 831, 132
• LCM of 348, 715, 450, 259, 563

1. What is the LCM of 724, 968, 286, 572, 442?

Answer: LCM of 724, 968, 286, 572, 442 is 38720968.

2. How to calculate the LCM of 724, 968, 286, 572, 442?

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 724, 968, 286, 572, 442.

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}.