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LCM of 914, 998, 266, 113

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


Find the LCM of 914, 998, 266, 113 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, 998, 266, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,998,266,113

Given numbers are 914,998,266,113

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

The LCM of 914,998,266,113 is 6854516494.

Find LCM of 914,998,266,113 with Prime Factorization


2 914, 998, 266, 113
457, 499, 133, 113

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

2 x 457 x 499 x 133 x 113 = 6854516494

Therefore, the lowest common multiple of 914,998,266,113 is 6854516494.

LCM Formula to Find Lowest Common Multiple of 914,998,266,113

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 998 x 266 x 113 = 27418065976

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

998 : 1, 2, 499, 998

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

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,998,266,113, is 1.

Now, the common factors can be found like this.

914:2x 457

998:2x 499

266:2x 7x 19

113:113

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 = 27418065976/(1x4)

LCM = 27418065976/4

LCM = 6854516494

Thus, we can understand that the LCM of 914,998,266,113 is 6854516494.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 998, 266, 113

1. What is the LCM of 914, 998, 266, 113?

Answer: LCM of 914, 998, 266, 113 is 6854516494.

2. How to calculate the LCM of 914, 998, 266, 113?

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, 998, 266, 113.

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}.