Given numbers are 420,762,634,395,840

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

The LCM of 420,762,634,395,840 is 2671587240.

Find LCM of 420,762,634,395,840 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 1 x 127 x 317 x 79 x 2 = 2671587240

Therefore, the lowest common multiple of 420,762,634,395,840 is 2671587240.

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 762 x 634 x 395 x 840 = 67323998448000

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

634 : 1, 2, 317, 634

395 : 1, 5, 79, 395

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,762,634,395,840, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

762:2x 3x 127

634:2x 317

395:5x 79

840:2x 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 2x 2x 2x 3x 3x 5x 5x 7 = 25200

Therefore, the value for common factors is 25200.

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 = 67323998448000/(1x25200)

LCM = 67323998448000/25200

LCM = 2671587240

Thus, we can understand that the LCM of 420,762,634,395,840 is 2671587240.

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

• LCM of 976, 853, 671, 119, 223
• LCM of 128, 527, 301, 864, 340
• LCM of 802, 580, 364, 150, 696
• LCM of 329, 167, 431, 592, 833
• LCM of 225, 926, 460, 710, 600

1. What is the LCM of 420, 762, 634, 395, 840?

Answer: LCM of 420, 762, 634, 395, 840 is 2671587240.

2. How to calculate the LCM of 420, 762, 634, 395, 840?

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, 762, 634, 395, 840.

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}.