Given numbers are 508,180,409,971,674

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

The LCM of 508,180,409,971,674 is 3059487370980.

Find LCM of 508,180,409,971,674 with Prime Factorization

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

2 x 2 x 127 x 45 x 409 x 971 x 337 = 3059487370980

Therefore, the lowest common multiple of 508,180,409,971,674 is 3059487370980.

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 180 x 409 x 971 x 674 = 24475898967840

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

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

409 : 1, 409

971 : 1, 971

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,180,409,971,674, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

180:2x 2x 3x 3x 5

409:409

971:971

674:2x 337

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 = 24475898967840/(1x8)

LCM = 24475898967840/8

LCM = 3059487370980

Thus, we can understand that the LCM of 508,180,409,971,674 is 3059487370980.

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

• LCM of 307, 264, 945, 101, 615
• LCM of 744, 749, 481, 401, 393
• LCM of 167, 269, 766, 643, 734
• LCM of 170, 728, 243, 471, 878
• LCM of 173, 946, 179, 122, 790

1. What is the LCM of 508, 180, 409, 971, 674?

Answer: LCM of 508, 180, 409, 971, 674 is 3059487370980.

2. How to calculate the LCM of 508, 180, 409, 971, 674?

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, 180, 409, 971, 674.

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}.