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LCM of 990, 532, 815, 310, 634

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


Find the LCM of 990, 532, 815, 310, 634 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 990, 532, 815, 310, 634. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,532,815,310,634

Given numbers are 990,532,815,310,634

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

The LCM of 990,532,815,310,634 is 421818275340.

Find LCM of 990,532,815,310,634 with Prime Factorization


2 990, 532, 815, 310, 634
5 495, 266, 815, 155, 317
99, 266, 163, 31, 317

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

2 x 5 x 99 x 266 x 163 x 31 x 317 = 421818275340

Therefore, the lowest common multiple of 990,532,815,310,634 is 421818275340.

LCM Formula to Find Lowest Common Multiple of 990,532,815,310,634

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.

990 x 532 x 815 x 310 x 634 = 84363655068000

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

815 : 1, 5, 163, 815

310 : 1, 2, 5, 10, 31, 62, 155, 310

634 : 1, 2, 317, 634

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,532,815,310,634, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

532:2x 2x 7x 19

815:5x 163

310:2x 5x 31

634:2x 317

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

2x 2x 2x 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 84363655068000/(1x200)

LCM = 84363655068000/200

LCM = 421818275340

Thus, we can understand that the LCM of 990,532,815,310,634 is 421818275340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 532, 815, 310, 634

1. What is the LCM of 990, 532, 815, 310, 634?

Answer: LCM of 990, 532, 815, 310, 634 is 421818275340.

2. How to calculate the LCM of 990, 532, 815, 310, 634?

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 990, 532, 815, 310, 634.

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}.