Given numbers are 357,504,864,857,220

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

The LCM of 357,504,864,857,220 is 4846232160.

Find LCM of 357,504,864,857,220 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 7 x 17 x 1 x 12 x 857 x 55 = 4846232160

Therefore, the lowest common multiple of 357,504,864,857,220 is 4846232160.

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.

357 x 504 x 864 x 857 x 220 = 29310012103680

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.

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

857 : 1, 857

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,504,864,857,220, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

504:2x 2x 2x 3x 3x 7

864:2x 2x 2x 2x 2x 3x 3x 3

857:857

220:2x 2x 5x 11

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 3x 3x 3x 7 = 6048

Therefore, the value for common factors is 6048.

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 = 29310012103680/(1x6048)

LCM = 29310012103680/6048

LCM = 4846232160

Thus, we can understand that the LCM of 357,504,864,857,220 is 4846232160.

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

• LCM of 898, 265, 342, 161, 218
• LCM of 962, 951, 108, 633, 563
• LCM of 365, 134, 298, 333, 743
• LCM of 246, 993, 943, 786, 956
• LCM of 814, 841, 578, 917, 657

1. What is the LCM of 357, 504, 864, 857, 220?

Answer: LCM of 357, 504, 864, 857, 220 is 4846232160.

2. How to calculate the LCM of 357, 504, 864, 857, 220?

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 357, 504, 864, 857, 220.

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}.