Given numbers are 857,202,664,348,972

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

The LCM of 857,202,664,348,972 is 405018206856.

Find LCM of 857,202,664,348,972 with Prime Factorization

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

2 x 2 x 3 x 857 x 101 x 166 x 29 x 81 = 405018206856

Therefore, the lowest common multiple of 857,202,664,348,972 is 405018206856.

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.

857 x 202 x 664 x 348 x 972 = 38881747858176

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.

857 : 1, 857

202 : 1, 2, 101, 202

664 : 1, 2, 4, 8, 83, 166, 332, 664

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,202,664,348,972, is 1.

Now, the common factors can be found like this.

857:857

202:2x 101

664:2x 2x 2x 83

348:2x 2x 3x 29

972:2x 2x 3x 3x 3x 3x 3

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 3 = 96

Therefore, the value for common factors is 96.

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 = 38881747858176/(1x96)

LCM = 38881747858176/96

LCM = 405018206856

Thus, we can understand that the LCM of 857,202,664,348,972 is 405018206856.

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

• LCM of 887, 102, 697, 284, 253
• LCM of 613, 886, 623, 100, 269
• LCM of 123, 713, 318, 300, 791
• LCM of 767, 792, 422, 548, 522
• LCM of 522, 383, 964, 760, 566

1. What is the LCM of 857, 202, 664, 348, 972?

Answer: LCM of 857, 202, 664, 348, 972 is 405018206856.

2. How to calculate the LCM of 857, 202, 664, 348, 972?

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 857, 202, 664, 348, 972.

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}.