Given numbers are 564,209,527,329,242

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

The LCM of 564,209,527,329,242 is 4783290204.

Find LCM of 564,209,527,329,242 with Prime Factorization

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

2 x 11 x 47 x 6 x 19 x 527 x 7 x 11 = 4783290204

Therefore, the lowest common multiple of 564,209,527,329,242 is 4783290204.

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.

564 x 209 x 527 x 329 x 242 = 4945922070936

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.

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

209 : 1, 11, 19, 209

527 : 1, 17, 31, 527

329 : 1, 7, 47, 329

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,209,527,329,242, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

209:11x 19

527:17x 31

329:7x 47

242:2x 11x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11x 47 = 1034

Therefore, the value for common factors is 1034.

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 = 4945922070936/(1x1034)

LCM = 4945922070936/1034

LCM = 4783290204

Thus, we can understand that the LCM of 564,209,527,329,242 is 4783290204.

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

• LCM of 849, 959, 707, 615, 555
• LCM of 813, 739, 261, 878, 626
• LCM of 906, 648, 584, 481, 966
• LCM of 187, 887, 870, 834, 421
• LCM of 405, 543, 788, 766, 856

1. What is the LCM of 564, 209, 527, 329, 242?

Answer: LCM of 564, 209, 527, 329, 242 is 4783290204.

2. How to calculate the LCM of 564, 209, 527, 329, 242?

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 564, 209, 527, 329, 242.

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}.