Given numbers are 201,195,478,456,522

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

The LCM of 201,195,478,456,522 is 41292402840.

Find LCM of 201,195,478,456,522 with Prime Factorization

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

2 x 3 x 67 x 65 x 239 x 76 x 87 = 41292402840

Therefore, the lowest common multiple of 201,195,478,456,522 is 41292402840.

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.

201 x 195 x 478 x 456 x 522 = 4459579506720

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.

201 : 1, 3, 67, 201

195 : 1, 3, 5, 13, 15, 39, 65, 195

478 : 1, 2, 239, 478

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

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,195,478,456,522, is 1.

Now, the common factors can be found like this.

201:3x 67

195:3x 5x 13

478:2x 239

456:2x 2x 2x 3x 19

522:2x 3x 3x 29

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 4459579506720/(1x108)

LCM = 4459579506720/108

LCM = 41292402840

Thus, we can understand that the LCM of 201,195,478,456,522 is 41292402840.

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

• LCM of 275, 293, 743, 997, 661
• LCM of 329, 428, 887, 638, 931
• LCM of 745, 603, 721, 443, 904
• LCM of 851, 662, 152, 744, 619
• LCM of 427, 721, 900, 291, 653

1. What is the LCM of 201, 195, 478, 456, 522?

Answer: LCM of 201, 195, 478, 456, 522 is 41292402840.

2. How to calculate the LCM of 201, 195, 478, 456, 522?

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 201, 195, 478, 456, 522.

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}.