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LCM of 910, 149, 422, 459

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


Find the LCM of 910, 149, 422, 459 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 910, 149, 422, 459. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,149,422,459

Given numbers are 910,149,422,459

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

The LCM of 910,149,422,459 is 13131755910.

Find LCM of 910,149,422,459 with Prime Factorization


2 910, 149, 422, 459
455, 149, 211, 459

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

2 x 455 x 149 x 211 x 459 = 13131755910

Therefore, the lowest common multiple of 910,149,422,459 is 13131755910.

LCM Formula to Find Lowest Common Multiple of 910,149,422,459

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.

910 x 149 x 422 x 459 = 26263511820

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

149 : 1, 149

422 : 1, 2, 211, 422

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,149,422,459, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

149:149

422:2x 211

459:3x 3x 3x 17

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 = 26263511820/(1x2)

LCM = 26263511820/2

LCM = 13131755910

Thus, we can understand that the LCM of 910,149,422,459 is 13131755910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 149, 422, 459

1. What is the LCM of 910, 149, 422, 459?

Answer: LCM of 910, 149, 422, 459 is 13131755910.

2. How to calculate the LCM of 910, 149, 422, 459?

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 910, 149, 422, 459.

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}.