Given numbers are 513,406,406,989,812

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

The LCM of 513,406,406,989,812 is 411973884.

Find LCM of 513,406,406,989,812 with Prime Factorization

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

2 x 7 x 29 x 513 x 1 x 1 x 989 x 2 = 411973884

Therefore, the lowest common multiple of 513,406,406,989,812 is 411973884.

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.

513 x 406 x 406 x 989 x 812 = 67908127143024

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

406 : 1, 2, 7, 14, 29, 58, 203, 406

406 : 1, 2, 7, 14, 29, 58, 203, 406

989 : 1, 23, 43, 989

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,406,406,989,812, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

406:2x 7x 29

406:2x 7x 29

989:23x 43

812:2x 2x 7x 29

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 7x 7x 29x 29 = 164836

Therefore, the value for common factors is 164836.

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 = 67908127143024/(1x164836)

LCM = 67908127143024/164836

LCM = 411973884

Thus, we can understand that the LCM of 513,406,406,989,812 is 411973884.

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

• LCM of 420, 236, 584, 525, 363
• LCM of 738, 156, 677, 401, 729
• LCM of 152, 828, 421, 921, 441
• LCM of 848, 444, 721, 242, 437
• LCM of 817, 111, 415, 585, 715

1. What is the LCM of 513, 406, 406, 989, 812?

Answer: LCM of 513, 406, 406, 989, 812 is 411973884.

2. How to calculate the LCM of 513, 406, 406, 989, 812?

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 513, 406, 406, 989, 812.

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}.