Given numbers are 564,132,543,284,147

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

The LCM of 564,132,543,284,147 is 3906652596.

Find LCM of 564,132,543,284,147 with Prime Factorization

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

2 x 2 x 3 x 47 x 11 x 181 x 71 x 49 = 3906652596

Therefore, the lowest common multiple of 564,132,543,284,147 is 3906652596.

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 132 x 543 x 284 x 147 = 1687673921472

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

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

543 : 1, 3, 181, 543

284 : 1, 2, 4, 71, 142, 284

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,132,543,284,147, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

132:2x 2x 3x 11

543:3x 181

284:2x 2x 71

147:3x 7x 7

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 3 = 432

Therefore, the value for common factors is 432.

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 = 1687673921472/(1x432)

LCM = 1687673921472/432

LCM = 3906652596

Thus, we can understand that the LCM of 564,132,543,284,147 is 3906652596.

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

• LCM of 358, 879, 507, 628, 501
• LCM of 245, 155, 588, 418, 199
• LCM of 126, 987, 599, 730, 195
• LCM of 300, 800, 289, 759, 159
• LCM of 866, 388, 728, 419, 970

1. What is the LCM of 564, 132, 543, 284, 147?

Answer: LCM of 564, 132, 543, 284, 147 is 3906652596.

2. How to calculate the LCM of 564, 132, 543, 284, 147?

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, 132, 543, 284, 147.

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}.