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LCM of 914, 811, 108, 185

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


Find the LCM of 914, 811, 108, 185 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, 811, 108, 185. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 914,811,108,185

Given numbers are 914,811,108,185

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

The LCM of 914,811,108,185 is 7405127460.

Find LCM of 914,811,108,185 with Prime Factorization


2 914, 811, 108, 185
457, 811, 54, 185

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

2 x 457 x 811 x 54 x 185 = 7405127460

Therefore, the lowest common multiple of 914,811,108,185 is 7405127460.

LCM Formula to Find Lowest Common Multiple of 914,811,108,185

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 811 x 108 x 185 = 14810254920

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

811 : 1, 811

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

185 : 1, 5, 37, 185

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,811,108,185, is 1.

Now, the common factors can be found like this.

914:2x 457

811:811

108:2x 2x 3x 3x 3

185:5x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14810254920/(1x2)

LCM = 14810254920/2

LCM = 7405127460

Thus, we can understand that the LCM of 914,811,108,185 is 7405127460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 914, 811, 108, 185

1. What is the LCM of 914, 811, 108, 185?

Answer: LCM of 914, 811, 108, 185 is 7405127460.

2. How to calculate the LCM of 914, 811, 108, 185?

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, 811, 108, 185.

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}.