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LCM of 252, 492, 924, 809

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


Find the LCM of 252, 492, 924, 809 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 252, 492, 924, 809. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 252,492,924,809

Given numbers are 252,492,924,809

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

The LCM of 252,492,924,809 is 91944468.

Find LCM of 252,492,924,809 with Prime Factorization


2 252, 492, 924, 809
2 126, 246, 462, 809
3 63, 123, 231, 809
7 21, 41, 77, 809
3, 41, 11, 809

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

2 x 2 x 3 x 7 x 3 x 41 x 11 x 809 = 91944468

Therefore, the lowest common multiple of 252,492,924,809 is 91944468.

LCM Formula to Find Lowest Common Multiple of 252,492,924,809

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.

252 x 492 x 924 x 809 = 92680023744

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

809 : 1, 809

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,492,924,809, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

492:2x 2x 3x 41

924:2x 2x 3x 7x 11

809:809

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 2x 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 92680023744/(1x1008)

LCM = 92680023744/1008

LCM = 91944468

Thus, we can understand that the LCM of 252,492,924,809 is 91944468.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 252, 492, 924, 809

1. What is the LCM of 252, 492, 924, 809?

Answer: LCM of 252, 492, 924, 809 is 91944468.

2. How to calculate the LCM of 252, 492, 924, 809?

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 252, 492, 924, 809.

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}.