Given numbers are 813,523,291,219,392

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

The LCM of 813,523,291,219,392 is 1180246974648.

Find LCM of 813,523,291,219,392 with Prime Factorization

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

3 x 271 x 523 x 97 x 73 x 392 = 1180246974648

Therefore, the lowest common multiple of 813,523,291,219,392 is 1180246974648.

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.

813 x 523 x 291 x 219 x 392 = 10622222771832

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.

813 : 1, 3, 271, 813

523 : 1, 523

291 : 1, 3, 97, 291

219 : 1, 3, 73, 219

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 813,523,291,219,392, is 1.

Now, the common factors can be found like this.

813:3x 271

523:523

291:3x 97

219:3x 73

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.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 10622222771832/(1x9)

LCM = 10622222771832/9

LCM = 1180246974648

Thus, we can understand that the LCM of 813,523,291,219,392 is 1180246974648.

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

• LCM of 485, 340, 932, 340, 693
• LCM of 105, 452, 250, 810, 835
• LCM of 563, 384, 385, 298, 402
• LCM of 236, 182, 633, 119, 528
• LCM of 277, 795, 327, 851, 199

1. What is the LCM of 813, 523, 291, 219, 392?

Answer: LCM of 813, 523, 291, 219, 392 is 1180246974648.

2. How to calculate the LCM of 813, 523, 291, 219, 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 813, 523, 291, 219, 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}.