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LCM of 990, 731, 518, 857, 924

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


Find the LCM of 990, 731, 518, 857, 924 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, 731, 518, 857, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 990,731,518,857,924

Given numbers are 990,731,518,857,924

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

The LCM of 990,731,518,857,924 is 321264806940.

Find LCM of 990,731,518,857,924 with Prime Factorization


2 990, 731, 518, 857, 924
3 495, 731, 259, 857, 462
7 165, 731, 259, 857, 154
11 165, 731, 37, 857, 22
15, 731, 37, 857, 2

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

2 x 3 x 7 x 11 x 15 x 731 x 37 x 857 x 2 = 321264806940

Therefore, the lowest common multiple of 990,731,518,857,924 is 321264806940.

LCM Formula to Find Lowest Common Multiple of 990,731,518,857,924

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 731 x 518 x 857 x 924 = 296848681612560

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

731 : 1, 17, 43, 731

518 : 1, 2, 7, 14, 37, 74, 259, 518

857 : 1, 857

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,731,518,857,924, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

731:17x 43

518:2x 7x 37

857:857

924:2x 2x 3x 7x 11

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 3x 7x 11 = 924

Therefore, the value for common factors is 924.

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 = 296848681612560/(1x924)

LCM = 296848681612560/924

LCM = 321264806940

Thus, we can understand that the LCM of 990,731,518,857,924 is 321264806940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 990, 731, 518, 857, 924

1. What is the LCM of 990, 731, 518, 857, 924?

Answer: LCM of 990, 731, 518, 857, 924 is 321264806940.

2. How to calculate the LCM of 990, 731, 518, 857, 924?

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, 731, 518, 857, 924.

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}.