Given numbers are 420,674,638,537,627

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

The LCM of 420,674,638,537,627 is 153559435260.

Find LCM of 420,674,638,537,627 with Prime Factorization

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

2 x 3 x 11 x 70 x 337 x 29 x 179 x 19 = 153559435260

Therefore, the lowest common multiple of 420,674,638,537,627 is 153559435260.

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.

420 x 674 x 638 x 537 x 627 = 60809536362960

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.

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

674 : 1, 2, 337, 674

638 : 1, 2, 11, 22, 29, 58, 319, 638

537 : 1, 3, 179, 537

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,674,638,537,627, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

674:2x 337

638:2x 11x 29

537:3x 179

627:3x 11x 19

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 60809536362960/(1x396)

LCM = 60809536362960/396

LCM = 153559435260

Thus, we can understand that the LCM of 420,674,638,537,627 is 153559435260.

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

• LCM of 697, 243, 203, 364, 735
• LCM of 252, 788, 738, 558, 647
• LCM of 586, 868, 448, 397, 839
• LCM of 116, 243, 510, 328, 852
• LCM of 158, 533, 141, 513, 920

1. What is the LCM of 420, 674, 638, 537, 627?

Answer: LCM of 420, 674, 638, 537, 627 is 153559435260.

2. How to calculate the LCM of 420, 674, 638, 537, 627?

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 420, 674, 638, 537, 627.

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}.