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LCM of 242, 121, 987, 519

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


Find the LCM of 242, 121, 987, 519 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, 121, 987, 519. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,121,987,519

Given numbers are 242,121,987,519

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

The LCM of 242,121,987,519 is 41321742.

Find LCM of 242,121,987,519 with Prime Factorization


3 242, 121, 987, 519
11 242, 121, 329, 173
11 22, 11, 329, 173
2, 1, 329, 173

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

3 x 11 x 11 x 2 x 1 x 329 x 173 = 41321742

Therefore, the lowest common multiple of 242,121,987,519 is 41321742.

LCM Formula to Find Lowest Common Multiple of 242,121,987,519

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 121 x 987 x 519 = 14999792346

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

121 : 1, 11, 121

987 : 1, 3, 7, 21, 47, 141, 329, 987

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,121,987,519, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

121:11x 11

987:3x 7x 47

519:3x 173

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

3x 11x 11 = 363

Therefore, the value for common factors is 363.

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 = 14999792346/(1x363)

LCM = 14999792346/363

LCM = 41321742

Thus, we can understand that the LCM of 242,121,987,519 is 41321742.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 121, 987, 519

1. What is the LCM of 242, 121, 987, 519?

Answer: LCM of 242, 121, 987, 519 is 41321742.

2. How to calculate the LCM of 242, 121, 987, 519?

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, 121, 987, 519.

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}.