Given numbers are 420,517,127,357,630

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

The LCM of 420,517,127,357,630 is 1406415780.

Find LCM of 420,517,127,357,630 with Prime Factorization

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

2 x 3 x 5 x 7 x 2 x 517 x 127 x 17 x 3 = 1406415780

Therefore, the lowest common multiple of 420,517,127,357,630 is 1406415780.

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 517 x 127 x 357 x 630 = 6202293589800

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

517 : 1, 11, 47, 517

127 : 1, 127

357 : 1, 3, 7, 17, 21, 51, 119, 357

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,517,127,357,630, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

517:11x 47

127:127

357:3x 7x 17

630:2x 3x 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 5x 7x 7 = 4410

Therefore, the value for common factors is 4410.

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 = 6202293589800/(1x4410)

LCM = 6202293589800/4410

LCM = 1406415780

Thus, we can understand that the LCM of 420,517,127,357,630 is 1406415780.

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

• LCM of 156, 912, 449, 653, 540
• LCM of 795, 149, 872, 801, 490
• LCM of 645, 150, 704, 748, 319
• LCM of 121, 506, 818, 770, 674
• LCM of 544, 575, 820, 957, 925

1. What is the LCM of 420, 517, 127, 357, 630?

Answer: LCM of 420, 517, 127, 357, 630 is 1406415780.

2. How to calculate the LCM of 420, 517, 127, 357, 630?

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, 517, 127, 357, 630.

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}.