Given numbers are 792,495,414,163,952

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

The LCM of 792,495,414,163,952 is 1766678760.

Find LCM of 792,495,414,163,952 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 1 x 5 x 23 x 163 x 119 = 1766678760

Therefore, the lowest common multiple of 792,495,414,163,952 is 1766678760.

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.

792 x 495 x 414 x 163 x 952 = 25185772402560

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

163 : 1, 163

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,495,414,163,952, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

495:3x 3x 5x 11

414:2x 3x 3x 23

163:163

952:2x 2x 2x 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 2x 3x 3x 3x 3x 11 = 14256

Therefore, the value for common factors is 14256.

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 = 25185772402560/(1x14256)

LCM = 25185772402560/14256

LCM = 1766678760

Thus, we can understand that the LCM of 792,495,414,163,952 is 1766678760.

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

• LCM of 998, 843, 117, 157, 196
• LCM of 676, 998, 804, 398, 166
• LCM of 626, 520, 855, 521, 226
• LCM of 360, 725, 835, 539, 892
• LCM of 493, 382, 157, 708, 874

1. What is the LCM of 792, 495, 414, 163, 952?

Answer: LCM of 792, 495, 414, 163, 952 is 1766678760.

2. How to calculate the LCM of 792, 495, 414, 163, 952?

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 792, 495, 414, 163, 952.

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}.