Given numbers are 364,392,209,377,828

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

The LCM of 364,392,209,377,828 is 6393579192.

Find LCM of 364,392,209,377,828 with Prime Factorization

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

2 x 2 x 7 x 13 x 1 x 14 x 209 x 29 x 207 = 6393579192

Therefore, the lowest common multiple of 364,392,209,377,828 is 6393579192.

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.

364 x 392 x 209 x 377 x 828 = 9309051303552

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

209 : 1, 11, 19, 209

377 : 1, 13, 29, 377

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,392,209,377,828, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

392:2x 2x 2x 7x 7

209:11x 19

377:13x 29

828:2x 2x 3x 3x 23

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 7x 13 = 1456

Therefore, the value for common factors is 1456.

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 = 9309051303552/(1x1456)

LCM = 9309051303552/1456

LCM = 6393579192

Thus, we can understand that the LCM of 364,392,209,377,828 is 6393579192.

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

• LCM of 230, 507, 612, 216, 426
• LCM of 736, 906, 574, 650, 856
• LCM of 161, 434, 889, 402, 838
• LCM of 381, 459, 731, 807, 992
• LCM of 375, 370, 911, 910, 390

1. What is the LCM of 364, 392, 209, 377, 828?

Answer: LCM of 364, 392, 209, 377, 828 is 6393579192.

2. How to calculate the LCM of 364, 392, 209, 377, 828?

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 364, 392, 209, 377, 828.

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}.