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LCM of 564, 507, 591, 629, 704

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 564, 507, 591, 629, 704 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 564, 507, 591, 629, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 564,507,591,629,704

Given numbers are 564,507,591,629,704

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

The LCM of 564,507,591,629,704 is 2078716905408.

Find LCM of 564,507,591,629,704 with Prime Factorization


2 564, 507, 591, 629, 704
2 282, 507, 591, 629, 352
3 141, 507, 591, 629, 176
47, 169, 197, 629, 176

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

2 x 2 x 3 x 47 x 169 x 197 x 629 x 176 = 2078716905408

Therefore, the lowest common multiple of 564,507,591,629,704 is 2078716905408.

LCM Formula to Find Lowest Common Multiple of 564,507,591,629,704

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 507 x 591 x 629 x 704 = 74833808594688

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

507 : 1, 3, 13, 39, 169, 507

591 : 1, 3, 197, 591

629 : 1, 17, 37, 629

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,507,591,629,704, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

507:3x 13x 13

591:3x 197

629:17x 37

704:2x 2x 2x 2x 2x 2x 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 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 74833808594688/(1x36)

LCM = 74833808594688/36

LCM = 2078716905408

Thus, we can understand that the LCM of 564,507,591,629,704 is 2078716905408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 564, 507, 591, 629, 704

1. What is the LCM of 564, 507, 591, 629, 704?

Answer: LCM of 564, 507, 591, 629, 704 is 2078716905408.

2. How to calculate the LCM of 564, 507, 591, 629, 704?

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, 507, 591, 629, 704.

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}.