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LCM of 422, 422, 516

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


Find the LCM of 422, 422, 516 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 422, 422, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,422,516

Given numbers are 422,422,516

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

The LCM of 422,422,516 is 108876.

Find LCM of 422,422,516 with Prime Factorization


2 422, 422, 516
211 211, 211, 258
1, 1, 258

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

2 x 211 x 1 x 1 x 258 = 108876

Therefore, the lowest common multiple of 422,422,516 is 108876.

LCM Formula to Find Lowest Common Multiple of 422,422,516

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.

422 x 422 x 516 = 91891344

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.

422 : 1, 2, 211, 422

422 : 1, 2, 211, 422

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,422,516, is 2.

Now, the common factors can be found like this.

422:2x 211

422:2x 211

516:2x 2x 3x 43

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

2x 211 = 422

Therefore, the value for common factors is 422.

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 = 91891344/(2x422)

LCM = 91891344/844

LCM = 108876

Thus, we can understand that the LCM of 422,422,516 is 108876.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 422, 422, 516

1. What is the LCM of 422, 422, 516?

Answer: LCM of 422, 422, 516 is 108876.

2. How to calculate the LCM of 422, 422, 516?

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 422, 422, 516.

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}.