Given numbers are 252,536,919,736,392

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

The LCM of 252,536,919,736,392 is 19985118048.

Find LCM of 252,536,919,736,392 with Prime Factorization

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

2 x 2 x 2 x 7 x 9 x 67 x 919 x 92 x 7 = 19985118048

Therefore, the lowest common multiple of 252,536,919,736,392 is 19985118048.

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.

252 x 536 x 919 x 736 x 392 = 35813331542016

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.

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

536 : 1, 2, 4, 8, 67, 134, 268, 536

919 : 1, 919

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,536,919,736,392, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

536:2x 2x 2x 67

919:919

736:2x 2x 2x 2x 2x 23

392:2x 2x 2x 7x 7

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 2x 2x 2x 7 = 1792

Therefore, the value for common factors is 1792.

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 = 35813331542016/(1x1792)

LCM = 35813331542016/1792

LCM = 19985118048

Thus, we can understand that the LCM of 252,536,919,736,392 is 19985118048.

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

• LCM of 959, 211, 151, 675, 396
• LCM of 585, 955, 446, 878, 302
• LCM of 973, 971, 423, 766, 107
• LCM of 164, 849, 552, 996, 607
• LCM of 758, 670, 863, 913, 778

1. What is the LCM of 252, 536, 919, 736, 392?

Answer: LCM of 252, 536, 919, 736, 392 is 19985118048.

2. How to calculate the LCM of 252, 536, 919, 736, 392?

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 252, 536, 919, 736, 392.

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}.