Given numbers are 609,411,990,253,420

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

The LCM of 609,411,990,253,420 is 1266512940.

Find LCM of 609,411,990,253,420 with Prime Factorization

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

2 x 3 x 5 x 7 x 11 x 29 x 137 x 3 x 23 x 2 = 1266512940

Therefore, the lowest common multiple of 609,411,990,253,420 is 1266512940.

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.

609 x 411 x 990 x 253 x 420 = 26330804022600

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.

609 : 1, 3, 7, 21, 29, 87, 203, 609

411 : 1, 3, 137, 411

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

253 : 1, 11, 23, 253

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,411,990,253,420, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

411:3x 137

990:2x 3x 3x 5x 11

253:11x 23

420:2x 2x 3x 5x 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 3x 3x 3x 5x 7x 11 = 20790

Therefore, the value for common factors is 20790.

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 = 26330804022600/(1x20790)

LCM = 26330804022600/20790

LCM = 1266512940

Thus, we can understand that the LCM of 609,411,990,253,420 is 1266512940.

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

• LCM of 837, 560, 563, 148, 910
• LCM of 869, 774, 442, 396, 743
• LCM of 863, 579, 394, 195, 334
• LCM of 441, 513, 628, 227, 426
• LCM of 578, 132, 375, 695, 189

1. What is the LCM of 609, 411, 990, 253, 420?

Answer: LCM of 609, 411, 990, 253, 420 is 1266512940.

2. How to calculate the LCM of 609, 411, 990, 253, 420?

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 609, 411, 990, 253, 420.

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}.