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LCM of 253, 810, 990, 506

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


Find the LCM of 253, 810, 990, 506 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 253, 810, 990, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 253,810,990,506

Given numbers are 253,810,990,506

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

The LCM of 253,810,990,506 is 204930.

Find LCM of 253,810,990,506 with Prime Factorization


2 253, 810, 990, 506
3 253, 405, 495, 253
3 253, 135, 165, 253
5 253, 45, 55, 253
11 253, 9, 11, 253
23 23, 9, 1, 23
1, 9, 1, 1

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

2 x 3 x 3 x 5 x 11 x 23 x 1 x 9 x 1 x 1 = 204930

Therefore, the lowest common multiple of 253,810,990,506 is 204930.

LCM Formula to Find Lowest Common Multiple of 253,810,990,506

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.

253 x 810 x 990 x 506 = 102657634200

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.

253 : 1, 11, 23, 253

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,810,990,506, is 1.

Now, the common factors can be found like this.

253:11x 23

810:2x 3x 3x 3x 3x 5

990:2x 3x 3x 5x 11

506:2x 11x 23

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 3x 5x 11x 11x 23 = 500940

Therefore, the value for common factors is 500940.

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 = 102657634200/(1x500940)

LCM = 102657634200/500940

LCM = 204930

Thus, we can understand that the LCM of 253,810,990,506 is 204930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 253, 810, 990, 506

1. What is the LCM of 253, 810, 990, 506?

Answer: LCM of 253, 810, 990, 506 is 204930.

2. How to calculate the LCM of 253, 810, 990, 506?

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 253, 810, 990, 506.

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}.