Given numbers are 494,912,993,564

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

The LCM of 494,912,993,564 is 184443792.

Find LCM of 494,912,993,564 with Prime Factorization

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

2 x 2 x 3 x 19 x 13 x 4 x 331 x 47 = 184443792

Therefore, the lowest common multiple of 494,912,993,564 is 184443792.

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.

494 x 912 x 993 x 564 = 252319107456

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

993 : 1, 3, 331, 993

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,912,993,564, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

912:2x 2x 2x 2x 3x 19

993:3x 331

564:2x 2x 3x 47

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 19 = 1368

Therefore, the value for common factors is 1368.

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 = 252319107456/(1x1368)

LCM = 252319107456/1368

LCM = 184443792

Thus, we can understand that the LCM of 494,912,993,564 is 184443792.

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

• LCM of 518, 208, 854, 673
• LCM of 333, 190, 115, 986
• LCM of 543, 772, 145, 790
• LCM of 367, 468, 711, 606
• LCM of 252, 866, 401, 876

1. What is the LCM of 494, 912, 993, 564?

Answer: LCM of 494, 912, 993, 564 is 184443792.

2. How to calculate the LCM of 494, 912, 993, 564?

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 494, 912, 993, 564.

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}.