Given numbers are 508,646,470,977

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

The LCM of 508,646,470,977 is 37672865980.

Find LCM of 508,646,470,977 with Prime Factorization

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

2 x 254 x 323 x 235 x 977 = 37672865980

Therefore, the lowest common multiple of 508,646,470,977 is 37672865980.

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 646 x 470 x 977 = 150691463920

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

470 : 1, 2, 5, 10, 47, 94, 235, 470

977 : 1, 977

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,646,470,977, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

646:2x 17x 19

470:2x 5x 47

977:977

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 = 150691463920/(1x4)

LCM = 150691463920/4

LCM = 37672865980

Thus, we can understand that the LCM of 508,646,470,977 is 37672865980.

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

• LCM of 807, 639, 866, 710
• LCM of 271, 185, 871, 964
• LCM of 201, 853, 515, 381
• LCM of 450, 999, 729, 190
• LCM of 300, 889, 171, 693

1. What is the LCM of 508, 646, 470, 977?

Answer: LCM of 508, 646, 470, 977 is 37672865980.

2. How to calculate the LCM of 508, 646, 470, 977?

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, 646, 470, 977.

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}.