Given numbers are 428,382,502,715

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

The LCM of 428,382,502,715 is 14670904820.

Find LCM of 428,382,502,715 with Prime Factorization

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

2 x 214 x 191 x 251 x 715 = 14670904820

Therefore, the lowest common multiple of 428,382,502,715 is 14670904820.

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 382 x 502 x 715 = 58683619280

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

382 : 1, 2, 191, 382

502 : 1, 2, 251, 502

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,382,502,715, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

382:2x 191

502:2x 251

715:5x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 58683619280/(1x4)

LCM = 58683619280/4

LCM = 14670904820

Thus, we can understand that the LCM of 428,382,502,715 is 14670904820.

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

• LCM of 697, 991, 333, 924
• LCM of 660, 429, 663, 863
• LCM of 632, 788, 802, 638
• LCM of 593, 242, 397, 882
• LCM of 308, 977, 256, 524

1. What is the LCM of 428, 382, 502, 715?

Answer: LCM of 428, 382, 502, 715 is 14670904820.

2. How to calculate the LCM of 428, 382, 502, 715?

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, 382, 502, 715.

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}.