Given numbers are 832,256,409,313,377

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

The LCM of 832,256,409,313,377 is 12355176704.

Find LCM of 832,256,409,313,377 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 13 x 1 x 4 x 409 x 313 x 29 = 12355176704

Therefore, the lowest common multiple of 832,256,409,313,377 is 12355176704.

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.

832 x 256 x 409 x 313 x 377 = 10279507017728

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.

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

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

409 : 1, 409

313 : 1, 313

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,256,409,313,377, is 1.

Now, the common factors can be found like this.

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

256:2x 2x 2x 2x 2x 2x 2x 2

409:409

313:313

377:13x 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 2x 2x 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 10279507017728/(1x832)

LCM = 10279507017728/832

LCM = 12355176704

Thus, we can understand that the LCM of 832,256,409,313,377 is 12355176704.

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

• LCM of 194, 436, 318, 857, 182
• LCM of 889, 738, 483, 427, 250
• LCM of 231, 832, 771, 142, 562
• LCM of 140, 486, 188, 862, 875
• LCM of 448, 244, 715, 451, 873

1. What is the LCM of 832, 256, 409, 313, 377?

Answer: LCM of 832, 256, 409, 313, 377 is 12355176704.

2. How to calculate the LCM of 832, 256, 409, 313, 377?

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 832, 256, 409, 313, 377.

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}.