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LCM of 243, 775, 317, 992

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


Find the LCM of 243, 775, 317, 992 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 243, 775, 317, 992. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 243,775,317,992

Given numbers are 243,775,317,992

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

The LCM of 243,775,317,992 is 1910368800.

Find LCM of 243,775,317,992 with Prime Factorization


31 243, 775, 317, 992
243, 25, 317, 32

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

31 x 243 x 25 x 317 x 32 = 1910368800

Therefore, the lowest common multiple of 243,775,317,992 is 1910368800.

LCM Formula to Find Lowest Common Multiple of 243,775,317,992

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.

243 x 775 x 317 x 992 = 59221432800

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.

243 : 1, 3, 9, 27, 81, 243

775 : 1, 5, 25, 31, 155, 775

317 : 1, 317

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,775,317,992, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

775:5x 5x 31

317:317

992:2x 2x 2x 2x 2x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 59221432800/(1x31)

LCM = 59221432800/31

LCM = 1910368800

Thus, we can understand that the LCM of 243,775,317,992 is 1910368800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 243, 775, 317, 992

1. What is the LCM of 243, 775, 317, 992?

Answer: LCM of 243, 775, 317, 992 is 1910368800.

2. How to calculate the LCM of 243, 775, 317, 992?

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 243, 775, 317, 992.

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}.