Given numbers are 572,426,312,121,390

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

The LCM of 572,426,312,121,390 is 13401960.

Find LCM of 572,426,312,121,390 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 1 x 71 x 2 x 11 x 5 = 13401960

Therefore, the lowest common multiple of 572,426,312,121,390 is 13401960.

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.

572 x 426 x 312 x 121 x 390 = 3587651084160

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.

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

426 : 1, 2, 3, 6, 71, 142, 213, 426

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

121 : 1, 11, 121

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,426,312,121,390, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

426:2x 3x 71

312:2x 2x 2x 3x 13

121:11x 11

390:2x 3x 5x 13

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 11x 13x 13 = 267696

Therefore, the value for common factors is 267696.

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 = 3587651084160/(1x267696)

LCM = 3587651084160/267696

LCM = 13401960

Thus, we can understand that the LCM of 572,426,312,121,390 is 13401960.

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

• LCM of 294, 199, 610, 596, 719
• LCM of 308, 609, 505, 676, 432
• LCM of 338, 624, 673, 257, 913
• LCM of 863, 921, 305, 622, 747
• LCM of 443, 673, 129, 998, 730

1. What is the LCM of 572, 426, 312, 121, 390?

Answer: LCM of 572, 426, 312, 121, 390 is 13401960.

2. How to calculate the LCM of 572, 426, 312, 121, 390?

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 572, 426, 312, 121, 390.

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}.