Given numbers are 528,564,996,209,979

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

The LCM of 528,564,996,209,979 is 3483000048.

Find LCM of 528,564,996,209,979 with Prime Factorization

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

2 x 2 x 3 x 11 x 4 x 47 x 83 x 19 x 89 = 3483000048

Therefore, the lowest common multiple of 528,564,996,209,979 is 3483000048.

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.

528 x 564 x 996 x 209 x 979 = 60687792836352

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

209 : 1, 11, 19, 209

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,564,996,209,979, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

564:2x 2x 3x 47

996:2x 2x 3x 83

209:11x 19

979:11x 89

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 2x 3x 3x 11x 11 = 17424

Therefore, the value for common factors is 17424.

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 = 60687792836352/(1x17424)

LCM = 60687792836352/17424

LCM = 3483000048

Thus, we can understand that the LCM of 528,564,996,209,979 is 3483000048.

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

• LCM of 704, 657, 104, 894, 822
• LCM of 949, 994, 487, 663, 818
• LCM of 174, 664, 999, 858, 503
• LCM of 947, 949, 291, 466, 179
• LCM of 661, 475, 625, 241, 624

1. What is the LCM of 528, 564, 996, 209, 979?

Answer: LCM of 528, 564, 996, 209, 979 is 3483000048.

2. How to calculate the LCM of 528, 564, 996, 209, 979?

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 528, 564, 996, 209, 979.

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}.