Given numbers are 364,192,832,239,126

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

The LCM of 364,192,832,239,126 is 12527424.

Find LCM of 364,192,832,239,126 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 1 x 1 x 1 x 239 x 3 = 12527424

Therefore, the lowest common multiple of 364,192,832,239,126 is 12527424.

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 192 x 832 x 239 x 126 = 1751033217024

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

239 : 1, 239

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,192,832,239,126, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

192:2x 2x 2x 2x 2x 2x 3

832:2x 2x 2x 2x 2x 2x 13

239:239

126:2x 3x 3x 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 2x 3x 7x 13 = 139776

Therefore, the value for common factors is 139776.

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 = 1751033217024/(1x139776)

LCM = 1751033217024/139776

LCM = 12527424

Thus, we can understand that the LCM of 364,192,832,239,126 is 12527424.

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

• LCM of 381, 609, 774, 134, 617
• LCM of 482, 856, 654, 903, 247
• LCM of 914, 310, 500, 319, 522
• LCM of 237, 737, 941, 310, 421
• LCM of 658, 798, 483, 955, 421

1. What is the LCM of 364, 192, 832, 239, 126?

Answer: LCM of 364, 192, 832, 239, 126 is 12527424.

2. How to calculate the LCM of 364, 192, 832, 239, 126?

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, 192, 832, 239, 126.

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}.