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LCM of 549, 569, 517, 452, 824

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


Find the LCM of 549, 569, 517, 452, 824 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 549, 569, 517, 452, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 549,569,517,452,824

Given numbers are 549,569,517,452,824

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

The LCM of 549,569,517,452,824 is 15037678970424.

Find LCM of 549,569,517,452,824 with Prime Factorization


2 549, 569, 517, 452, 824
2 549, 569, 517, 226, 412
549, 569, 517, 113, 206

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

2 x 2 x 549 x 569 x 517 x 113 x 206 = 15037678970424

Therefore, the lowest common multiple of 549,569,517,452,824 is 15037678970424.

LCM Formula to Find Lowest Common Multiple of 549,569,517,452,824

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.

549 x 569 x 517 x 452 x 824 = 60150715881696

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.

549 : 1, 3, 9, 61, 183, 549

569 : 1, 569

517 : 1, 11, 47, 517

452 : 1, 2, 4, 113, 226, 452

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,569,517,452,824, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

569:569

517:11x 47

452:2x 2x 113

824:2x 2x 2x 103

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 60150715881696/(1x4)

LCM = 60150715881696/4

LCM = 15037678970424

Thus, we can understand that the LCM of 549,569,517,452,824 is 15037678970424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 549, 569, 517, 452, 824

1. What is the LCM of 549, 569, 517, 452, 824?

Answer: LCM of 549, 569, 517, 452, 824 is 15037678970424.

2. How to calculate the LCM of 549, 569, 517, 452, 824?

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 549, 569, 517, 452, 824.

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}.