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LCM of 117, 266, 627, 862, 649

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


Find the LCM of 117, 266, 627, 862, 649 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 117, 266, 627, 862, 649. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 117,266,627,862,649

Given numbers are 117,266,627,862,649

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

The LCM of 117,266,627,862,649 is 8705414718.

Find LCM of 117,266,627,862,649 with Prime Factorization


2 117, 266, 627, 862, 649
3 117, 133, 627, 431, 649
11 39, 133, 209, 431, 649
19 39, 133, 19, 431, 59
39, 7, 1, 431, 59

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

2 x 3 x 11 x 19 x 39 x 7 x 1 x 431 x 59 = 8705414718

Therefore, the lowest common multiple of 117,266,627,862,649 is 8705414718.

LCM Formula to Find Lowest Common Multiple of 117,266,627,862,649

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.

117 x 266 x 627 x 862 x 649 = 10916590056372

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.

117 : 1, 3, 9, 13, 39, 117

266 : 1, 2, 7, 14, 19, 38, 133, 266

627 : 1, 3, 11, 19, 33, 57, 209, 627

862 : 1, 2, 431, 862

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,266,627,862,649, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

266:2x 7x 19

627:3x 11x 19

862:2x 431

649:11x 59

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

2x 3x 11x 19 = 1254

Therefore, the value for common factors is 1254.

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 = 10916590056372/(1x1254)

LCM = 10916590056372/1254

LCM = 8705414718

Thus, we can understand that the LCM of 117,266,627,862,649 is 8705414718.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 117, 266, 627, 862, 649

1. What is the LCM of 117, 266, 627, 862, 649?

Answer: LCM of 117, 266, 627, 862, 649 is 8705414718.

2. How to calculate the LCM of 117, 266, 627, 862, 649?

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 117, 266, 627, 862, 649.

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}.