Given numbers are 428,272,131,681,630

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

The LCM of 428,272,131,681,630 is 272621679120.

Find LCM of 428,272,131,681,630 with Prime Factorization

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

2 x 2 x 3 x 107 x 68 x 131 x 227 x 105 = 272621679120

Therefore, the lowest common multiple of 428,272,131,681,630 is 272621679120.

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.

428 x 272 x 131 x 681 x 630 = 6542920298880

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.

428 : 1, 2, 4, 107, 214, 428

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

131 : 1, 131

681 : 1, 3, 227, 681

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 428,272,131,681,630, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

272:2x 2x 2x 2x 17

131:131

681:3x 227

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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 6542920298880/(1x24)

LCM = 6542920298880/24

LCM = 272621679120

Thus, we can understand that the LCM of 428,272,131,681,630 is 272621679120.

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

• LCM of 509, 826, 233, 724, 191
• LCM of 480, 706, 119, 280, 162
• LCM of 422, 376, 928, 385, 868
• LCM of 597, 261, 286, 381, 797
• LCM of 108, 483, 429, 863, 582

1. What is the LCM of 428, 272, 131, 681, 630?

Answer: LCM of 428, 272, 131, 681, 630 is 272621679120.

2. How to calculate the LCM of 428, 272, 131, 681, 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 428, 272, 131, 681, 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}.