Given numbers are 768,163,952,239,357

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

The LCM of 768,163,952,239,357 is 3560358144.

Find LCM of 768,163,952,239,357 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 17 x 32 x 163 x 1 x 239 x 1 = 3560358144

Therefore, the lowest common multiple of 768,163,952,239,357 is 3560358144.

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.

768 x 163 x 952 x 239 x 357 = 10168382859264

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

163 : 1, 163

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

239 : 1, 239

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,163,952,239,357, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

163:163

952:2x 2x 2x 7x 17

239:239

357:3x 7x 17

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 3x 7x 17 = 2856

Therefore, the value for common factors is 2856.

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 = 10168382859264/(1x2856)

LCM = 10168382859264/2856

LCM = 3560358144

Thus, we can understand that the LCM of 768,163,952,239,357 is 3560358144.

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

• LCM of 911, 814, 745, 983, 966
• LCM of 658, 631, 672, 707, 988
• LCM of 430, 127, 753, 881, 211
• LCM of 873, 142, 253, 816, 817
• LCM of 515, 184, 917, 849, 809

1. What is the LCM of 768, 163, 952, 239, 357?

Answer: LCM of 768, 163, 952, 239, 357 is 3560358144.

2. How to calculate the LCM of 768, 163, 952, 239, 357?

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 768, 163, 952, 239, 357.

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}.