Given numbers are 634,747,306,128,490

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

The LCM of 634,747,306,128,490 is 126242282880.

Find LCM of 634,747,306,128,490 with Prime Factorization

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

2 x 3 x 3 x 317 x 83 x 17 x 64 x 245 = 126242282880

Therefore, the lowest common multiple of 634,747,306,128,490 is 126242282880.

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.

634 x 747 x 306 x 128 x 490 = 9089444367360

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.

634 : 1, 2, 317, 634

747 : 1, 3, 9, 83, 249, 747

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

128 : 1, 2, 4, 8, 16, 32, 64, 128

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,747,306,128,490, is 1.

Now, the common factors can be found like this.

634:2x 317

747:3x 3x 83

306:2x 3x 3x 17

128:2x 2x 2x 2x 2x 2x 2

490:2x 5x 7x 7

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 3 = 72

Therefore, the value for common factors is 72.

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 = 9089444367360/(1x72)

LCM = 9089444367360/72

LCM = 126242282880

Thus, we can understand that the LCM of 634,747,306,128,490 is 126242282880.

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

• LCM of 558, 595, 543, 721, 633
• LCM of 384, 152, 251, 528, 738
• LCM of 783, 928, 805, 340, 993
• LCM of 194, 959, 550, 294, 170
• LCM of 289, 940, 595, 810, 917

1. What is the LCM of 634, 747, 306, 128, 490?

Answer: LCM of 634, 747, 306, 128, 490 is 126242282880.

2. How to calculate the LCM of 634, 747, 306, 128, 490?

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 634, 747, 306, 128, 490.

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}.