Given numbers are 391,126,900,627,657

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

The LCM of 391,126,900,627,657 is 37582568100.

Find LCM of 391,126,900,627,657 with Prime Factorization

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

2 x 3 x 3 x 391 x 7 x 50 x 209 x 73 = 37582568100

Therefore, the lowest common multiple of 391,126,900,627,657 is 37582568100.

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.

391 x 126 x 900 x 627 x 657 = 18265128096600

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.

391 : 1, 17, 23, 391

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

627 : 1, 3, 11, 19, 33, 57, 209, 627

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,126,900,627,657, is 1.

Now, the common factors can be found like this.

391:17x 23

126:2x 3x 3x 7

900:2x 2x 3x 3x 5x 5

627:3x 11x 19

657:3x 3x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 3 = 486

Therefore, the value for common factors is 486.

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 = 18265128096600/(1x486)

LCM = 18265128096600/486

LCM = 37582568100

Thus, we can understand that the LCM of 391,126,900,627,657 is 37582568100.

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

• LCM of 450, 729, 305, 765, 616
• LCM of 177, 271, 247, 131, 564
• LCM of 769, 141, 122, 405, 428
• LCM of 316, 517, 591, 163, 858
• LCM of 798, 569, 173, 725, 539

1. What is the LCM of 391, 126, 900, 627, 657?

Answer: LCM of 391, 126, 900, 627, 657 is 37582568100.

2. How to calculate the LCM of 391, 126, 900, 627, 657?

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 391, 126, 900, 627, 657.

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}.