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LCM of 990, 429, 461, 912, 635

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


Find the LCM of 990, 429, 461, 912, 635 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, 429, 461, 912, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,429,461,912,635

Given numbers are 990,429,461,912,635

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

The LCM of 990,429,461,912,635 is 114531983280.

Find LCM of 990,429,461,912,635 with Prime Factorization


2 990, 429, 461, 912, 635
3 495, 429, 461, 456, 635
5 165, 143, 461, 152, 635
11 33, 143, 461, 152, 127
3, 13, 461, 152, 127

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

2 x 3 x 5 x 11 x 3 x 13 x 461 x 152 x 127 = 114531983280

Therefore, the lowest common multiple of 990,429,461,912,635 is 114531983280.

LCM Formula to Find Lowest Common Multiple of 990,429,461,912,635

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 429 x 461 x 912 x 635 = 113386663447200

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

429 : 1, 3, 11, 13, 33, 39, 143, 429

461 : 1, 461

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,429,461,912,635, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

429:3x 11x 13

461:461

912:2x 2x 2x 2x 3x 19

635:5x 127

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

2x 3x 3x 5x 11 = 990

Therefore, the value for common factors is 990.

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 = 113386663447200/(1x990)

LCM = 113386663447200/990

LCM = 114531983280

Thus, we can understand that the LCM of 990,429,461,912,635 is 114531983280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 429, 461, 912, 635

1. What is the LCM of 990, 429, 461, 912, 635?

Answer: LCM of 990, 429, 461, 912, 635 is 114531983280.

2. How to calculate the LCM of 990, 429, 461, 912, 635?

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, 429, 461, 912, 635.

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}.