Given numbers are 507,956,468,198,939

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

The LCM of 507,956,468,198,939 is 5006383668.

Find LCM of 507,956,468,198,939 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 1 x 239 x 13 x 11 x 313 = 5006383668

Therefore, the lowest common multiple of 507,956,468,198,939 is 5006383668.

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.

507 x 956 x 468 x 198 x 939 = 42173776019232

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.

507 : 1, 3, 13, 39, 169, 507

956 : 1, 2, 4, 239, 478, 956

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

939 : 1, 3, 313, 939

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,956,468,198,939, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

956:2x 2x 239

468:2x 2x 3x 3x 13

198:2x 3x 3x 11

939:3x 313

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 2x 3x 3x 3x 3x 13 = 8424

Therefore, the value for common factors is 8424.

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 = 42173776019232/(1x8424)

LCM = 42173776019232/8424

LCM = 5006383668

Thus, we can understand that the LCM of 507,956,468,198,939 is 5006383668.

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

• LCM of 141, 481, 781, 704, 898
• LCM of 228, 491, 377, 172, 891
• LCM of 479, 723, 350, 474, 709
• LCM of 629, 511, 836, 870, 639
• LCM of 197, 941, 152, 216, 822

1. What is the LCM of 507, 956, 468, 198, 939?

Answer: LCM of 507, 956, 468, 198, 939 is 5006383668.

2. How to calculate the LCM of 507, 956, 468, 198, 939?

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 507, 956, 468, 198, 939.

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}.