Given numbers are 632,456,348,176,496

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

The LCM of 632,456,348,176,496 is 712482672.

Find LCM of 632,456,348,176,496 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 79 x 19 x 29 x 11 x 31 = 712482672

Therefore, the lowest common multiple of 632,456,348,176,496 is 712482672.

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.

632 x 456 x 348 x 176 x 496 = 8754987073536

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.

632 : 1, 2, 4, 8, 79, 158, 316, 632

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 632,456,348,176,496, is 4.

Now, the common factors can be found like this.

632:2x 2x 2x 79

456:2x 2x 2x 3x 19

348:2x 2x 3x 29

176:2x 2x 2x 2x 11

496:2x 2x 2x 2x 31

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 2x 2x 2x 2x 3 = 3072

Therefore, the value for common factors is 3072.

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 = 8754987073536/(4x3072)

LCM = 8754987073536/12288

LCM = 712482672

Thus, we can understand that the LCM of 632,456,348,176,496 is 712482672.

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

• LCM of 968, 810, 960, 834, 131
• LCM of 262, 401, 491, 470, 168
• LCM of 921, 445, 882, 861, 470
• LCM of 692, 231, 746, 822, 677
• LCM of 558, 127, 636, 295, 170

1. What is the LCM of 632, 456, 348, 176, 496?

Answer: LCM of 632, 456, 348, 176, 496 is 712482672.

2. How to calculate the LCM of 632, 456, 348, 176, 496?

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 632, 456, 348, 176, 496.

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}.