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LCM of 572, 406, 527, 969

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


Find the LCM of 572, 406, 527, 969 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 572, 406, 527, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,406,527,969

Given numbers are 572,406,527,969

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

The LCM of 572,406,527,969 is 3488008524.

Find LCM of 572,406,527,969 with Prime Factorization


2 572, 406, 527, 969
17 286, 203, 527, 969
286, 203, 31, 57

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

2 x 17 x 286 x 203 x 31 x 57 = 3488008524

Therefore, the lowest common multiple of 572,406,527,969 is 3488008524.

LCM Formula to Find Lowest Common Multiple of 572,406,527,969

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.

572 x 406 x 527 x 969 = 118592289816

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

406 : 1, 2, 7, 14, 29, 58, 203, 406

527 : 1, 17, 31, 527

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,406,527,969, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

406:2x 7x 29

527:17x 31

969:3x 17x 19

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 118592289816/(1x34)

LCM = 118592289816/34

LCM = 3488008524

Thus, we can understand that the LCM of 572,406,527,969 is 3488008524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 406, 527, 969

1. What is the LCM of 572, 406, 527, 969?

Answer: LCM of 572, 406, 527, 969 is 3488008524.

2. How to calculate the LCM of 572, 406, 527, 969?

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 572, 406, 527, 969.

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}.