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LCM of 549, 547, 650, 767

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


Find the LCM of 549, 547, 650, 767 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, 547, 650, 767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 549,547,650,767

Given numbers are 549,547,650,767

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

The LCM of 549,547,650,767 is 11516620050.

Find LCM of 549,547,650,767 with Prime Factorization


13 549, 547, 650, 767
549, 547, 50, 59

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

13 x 549 x 547 x 50 x 59 = 11516620050

Therefore, the lowest common multiple of 549,547,650,767 is 11516620050.

LCM Formula to Find Lowest Common Multiple of 549,547,650,767

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 547 x 650 x 767 = 149716060650

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

547 : 1, 547

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,547,650,767, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

547:547

650:2x 5x 5x 13

767:13x 59

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

13 = 13

Therefore, the value for common factors is 13.

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 = 149716060650/(1x13)

LCM = 149716060650/13

LCM = 11516620050

Thus, we can understand that the LCM of 549,547,650,767 is 11516620050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 549, 547, 650, 767

1. What is the LCM of 549, 547, 650, 767?

Answer: LCM of 549, 547, 650, 767 is 11516620050.

2. How to calculate the LCM of 549, 547, 650, 767?

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, 547, 650, 767.

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}.