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LCM of 909, 732, 572, 561, 548

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


Find the LCM of 909, 732, 572, 561, 548 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 909, 732, 572, 561, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 909,732,572,561,548

Given numbers are 909,732,572,561,548

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

The LCM of 909,732,572,561,548 is 73868492412.

Find LCM of 909,732,572,561,548 with Prime Factorization


2 909, 732, 572, 561, 548
2 909, 366, 286, 561, 274
3 909, 183, 143, 561, 137
11 303, 61, 143, 187, 137
303, 61, 13, 17, 137

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

2 x 2 x 3 x 11 x 303 x 61 x 13 x 17 x 137 = 73868492412

Therefore, the lowest common multiple of 909,732,572,561,548 is 73868492412.

LCM Formula to Find Lowest Common Multiple of 909,732,572,561,548

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.

909 x 732 x 572 x 561 x 548 = 117007691980608

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.

909 : 1, 3, 9, 101, 303, 909

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,732,572,561,548, is 1.

Now, the common factors can be found like this.

909:3x 3x 101

732:2x 2x 3x 61

572:2x 2x 11x 13

561:3x 11x 17

548:2x 2x 137

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 11 = 1584

Therefore, the value for common factors is 1584.

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 = 117007691980608/(1x1584)

LCM = 117007691980608/1584

LCM = 73868492412

Thus, we can understand that the LCM of 909,732,572,561,548 is 73868492412.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 909, 732, 572, 561, 548

1. What is the LCM of 909, 732, 572, 561, 548?

Answer: LCM of 909, 732, 572, 561, 548 is 73868492412.

2. How to calculate the LCM of 909, 732, 572, 561, 548?

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 909, 732, 572, 561, 548.

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}.