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LCM of 242, 172, 344, 113, 591

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


Find the LCM of 242, 172, 344, 113, 591 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 242, 172, 344, 113, 591. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,172,344,113,591

Given numbers are 242,172,344,113,591

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

The LCM of 242,172,344,113,591 is 2779775592.

Find LCM of 242,172,344,113,591 with Prime Factorization


2 242, 172, 344, 113, 591
2 121, 86, 172, 113, 591
43 121, 43, 86, 113, 591
121, 1, 2, 113, 591

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

2 x 2 x 43 x 121 x 1 x 2 x 113 x 591 = 2779775592

Therefore, the lowest common multiple of 242,172,344,113,591 is 2779775592.

LCM Formula to Find Lowest Common Multiple of 242,172,344,113,591

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.

242 x 172 x 344 x 113 x 591 = 956242803648

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.

242 : 1, 2, 11, 22, 121, 242

172 : 1, 2, 4, 43, 86, 172

344 : 1, 2, 4, 8, 43, 86, 172, 344

113 : 1, 113

591 : 1, 3, 197, 591

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,172,344,113,591, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

172:2x 2x 43

344:2x 2x 2x 43

113:113

591:3x 197

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 43 = 344

Therefore, the value for common factors is 344.

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 = 956242803648/(1x344)

LCM = 956242803648/344

LCM = 2779775592

Thus, we can understand that the LCM of 242,172,344,113,591 is 2779775592.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 172, 344, 113, 591

1. What is the LCM of 242, 172, 344, 113, 591?

Answer: LCM of 242, 172, 344, 113, 591 is 2779775592.

2. How to calculate the LCM of 242, 172, 344, 113, 591?

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 242, 172, 344, 113, 591.

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}.