Given numbers are 508,604,671,214

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

The LCM of 508,604,671,214 is 5507404276.

Find LCM of 508,604,671,214 with Prime Factorization

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

2 x 2 x 127 x 151 x 671 x 107 = 5507404276

Therefore, the lowest common multiple of 508,604,671,214 is 5507404276.

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 604 x 671 x 214 = 44059234208

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

604 : 1, 2, 4, 151, 302, 604

671 : 1, 11, 61, 671

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,604,671,214, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

604:2x 2x 151

671:11x 61

214:2x 107

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 2 = 8

Therefore, the value for common factors is 8.

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 = 44059234208/(1x8)

LCM = 44059234208/8

LCM = 5507404276

Thus, we can understand that the LCM of 508,604,671,214 is 5507404276.

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

• LCM of 427, 839, 910, 244
• LCM of 554, 917, 778, 690
• LCM of 991, 989, 600, 682
• LCM of 644, 261, 133, 575
• LCM of 360, 883, 994, 972

1. What is the LCM of 508, 604, 671, 214?

Answer: LCM of 508, 604, 671, 214 is 5507404276.

2. How to calculate the LCM of 508, 604, 671, 214?

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, 604, 671, 214.

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}.