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LCM of 242, 620, 913, 171

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


Find the LCM of 242, 620, 913, 171 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, 620, 913, 171. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,620,913,171

Given numbers are 242,620,913,171

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

The LCM of 242,620,913,171 is 1064758860.

Find LCM of 242,620,913,171 with Prime Factorization


2 242, 620, 913, 171
11 121, 310, 913, 171
11, 310, 83, 171

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

2 x 11 x 11 x 310 x 83 x 171 = 1064758860

Therefore, the lowest common multiple of 242,620,913,171 is 1064758860.

LCM Formula to Find Lowest Common Multiple of 242,620,913,171

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 620 x 913 x 171 = 23424694920

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

913 : 1, 11, 83, 913

171 : 1, 3, 9, 19, 57, 171

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,620,913,171, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

620:2x 2x 5x 31

913:11x 83

171:3x 3x 19

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 23424694920/(1x22)

LCM = 23424694920/22

LCM = 1064758860

Thus, we can understand that the LCM of 242,620,913,171 is 1064758860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 620, 913, 171

1. What is the LCM of 242, 620, 913, 171?

Answer: LCM of 242, 620, 913, 171 is 1064758860.

2. How to calculate the LCM of 242, 620, 913, 171?

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, 620, 913, 171.

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}.