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LCM of 813, 714, 517, 295, 117

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


Find the LCM of 813, 714, 517, 295, 117 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 813, 714, 517, 295, 117. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,714,517,295,117

Given numbers are 813,714,517,295,117

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

The LCM of 813,714,517,295,117 is 1150918758990.

Find LCM of 813,714,517,295,117 with Prime Factorization


3 813, 714, 517, 295, 117
271, 238, 517, 295, 39

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

3 x 271 x 238 x 517 x 295 x 39 = 1150918758990

Therefore, the lowest common multiple of 813,714,517,295,117 is 1150918758990.

LCM Formula to Find Lowest Common Multiple of 813,714,517,295,117

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.

813 x 714 x 517 x 295 x 117 = 10358268830910

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.

813 : 1, 3, 271, 813

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

517 : 1, 11, 47, 517

295 : 1, 5, 59, 295

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,714,517,295,117, is 1.

Now, the common factors can be found like this.

813:3x 271

714:2x 3x 7x 17

517:11x 47

295:5x 59

117:3x 3x 13

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 10358268830910/(1x9)

LCM = 10358268830910/9

LCM = 1150918758990

Thus, we can understand that the LCM of 813,714,517,295,117 is 1150918758990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 714, 517, 295, 117

1. What is the LCM of 813, 714, 517, 295, 117?

Answer: LCM of 813, 714, 517, 295, 117 is 1150918758990.

2. How to calculate the LCM of 813, 714, 517, 295, 117?

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 813, 714, 517, 295, 117.

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}.