Given numbers are 572,912,252,138,901

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

The LCM of 572,912,252,138,901 is 56754826128.

Find LCM of 572,912,252,138,901 with Prime Factorization

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

2 x 2 x 3 x 143 x 76 x 21 x 23 x 901 = 56754826128

Therefore, the lowest common multiple of 572,912,252,138,901 is 56754826128.

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 912 x 252 x 138 x 901 = 16345389924864

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

138 : 1, 2, 3, 6, 23, 46, 69, 138

901 : 1, 17, 53, 901

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,912,252,138,901, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

912:2x 2x 2x 2x 3x 19

252:2x 2x 3x 3x 7

138:2x 3x 23

901:17x 53

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 16345389924864/(1x288)

LCM = 16345389924864/288

LCM = 56754826128

Thus, we can understand that the LCM of 572,912,252,138,901 is 56754826128.

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

• LCM of 941, 868, 506, 684, 638
• LCM of 374, 275, 836, 523, 887
• LCM of 955, 825, 732, 984, 275
• LCM of 734, 138, 340, 884, 265
• LCM of 898, 443, 457, 175, 114

1. What is the LCM of 572, 912, 252, 138, 901?

Answer: LCM of 572, 912, 252, 138, 901 is 56754826128.

2. How to calculate the LCM of 572, 912, 252, 138, 901?

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, 912, 252, 138, 901.

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}.