Given numbers are 637,121,208,230,509

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

The LCM of 637,121,208,230,509 is 72187235120.

Find LCM of 637,121,208,230,509 with Prime Factorization

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

2 x 13 x 49 x 121 x 8 x 115 x 509 = 72187235120

Therefore, the lowest common multiple of 637,121,208,230,509 is 72187235120.

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.

637 x 121 x 208 x 230 x 509 = 1876868113120

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.

637 : 1, 7, 13, 49, 91, 637

121 : 1, 11, 121

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

230 : 1, 2, 5, 10, 23, 46, 115, 230

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,121,208,230,509, is 1.

Now, the common factors can be found like this.

637:7x 7x 13

121:11x 11

208:2x 2x 2x 2x 13

230:2x 5x 23

509:509

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 1876868113120/(1x26)

LCM = 1876868113120/26

LCM = 72187235120

Thus, we can understand that the LCM of 637,121,208,230,509 is 72187235120.

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

• LCM of 959, 508, 671, 297, 437
• LCM of 650, 322, 254, 681, 939
• LCM of 851, 292, 984, 754, 989
• LCM of 627, 724, 361, 983, 326
• LCM of 623, 325, 337, 448, 658

1. What is the LCM of 637, 121, 208, 230, 509?

Answer: LCM of 637, 121, 208, 230, 509 is 72187235120.

2. How to calculate the LCM of 637, 121, 208, 230, 509?

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 637, 121, 208, 230, 509.

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}.