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LCM of 914, 815, 457, 989, 337

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


Find the LCM of 914, 815, 457, 989, 337 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 914, 815, 457, 989, 337. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,815,457,989,337

Given numbers are 914,815,457,989,337

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

The LCM of 914,815,457,989,337 is 248273288630.

Find LCM of 914,815,457,989,337 with Prime Factorization


457 914, 815, 457, 989, 337
2, 815, 1, 989, 337

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

457 x 2 x 815 x 1 x 989 x 337 = 248273288630

Therefore, the lowest common multiple of 914,815,457,989,337 is 248273288630.

LCM Formula to Find Lowest Common Multiple of 914,815,457,989,337

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.

914 x 815 x 457 x 989 x 337 = 113460892903910

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.

914 : 1, 2, 457, 914

815 : 1, 5, 163, 815

457 : 1, 457

989 : 1, 23, 43, 989

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,815,457,989,337, is 1.

Now, the common factors can be found like this.

914:2x 457

815:5x 163

457:457

989:23x 43

337:337

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

457 = 457

Therefore, the value for common factors is 457.

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 = 113460892903910/(1x457)

LCM = 113460892903910/457

LCM = 248273288630

Thus, we can understand that the LCM of 914,815,457,989,337 is 248273288630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 815, 457, 989, 337

1. What is the LCM of 914, 815, 457, 989, 337?

Answer: LCM of 914, 815, 457, 989, 337 is 248273288630.

2. How to calculate the LCM of 914, 815, 457, 989, 337?

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 914, 815, 457, 989, 337.

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}.