Given numbers are 508,366,415,379

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

The LCM of 508,366,415,379 is 14621842740.

Find LCM of 508,366,415,379 with Prime Factorization

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

2 x 254 x 183 x 415 x 379 = 14621842740

Therefore, the lowest common multiple of 508,366,415,379 is 14621842740.

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.

508 x 366 x 415 x 379 = 29243685480

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.

508 : 1, 2, 4, 127, 254, 508

366 : 1, 2, 3, 6, 61, 122, 183, 366

415 : 1, 5, 83, 415

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,366,415,379, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

366:2x 3x 61

415:5x 83

379:379

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

2 = 2

Therefore, the value for common factors is 2.

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 = 29243685480/(1x2)

LCM = 29243685480/2

LCM = 14621842740

Thus, we can understand that the LCM of 508,366,415,379 is 14621842740.

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

• LCM of 458, 976, 493, 915
• LCM of 619, 428, 284, 626
• LCM of 827, 771, 951, 955
• LCM of 273, 167, 973, 695
• LCM of 861, 329, 338, 506

1. What is the LCM of 508, 366, 415, 379?

Answer: LCM of 508, 366, 415, 379 is 14621842740.

2. How to calculate the LCM of 508, 366, 415, 379?

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 508, 366, 415, 379.

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}.