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LCM of 121, 902, 514, 550

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


Find the LCM of 121, 902, 514, 550 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 121, 902, 514, 550. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,902,514,550

Given numbers are 121,902,514,550

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

The LCM of 121,902,514,550 is 63748850.

Find LCM of 121,902,514,550 with Prime Factorization


2 121, 902, 514, 550
11 121, 451, 257, 275
11, 41, 257, 25

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

2 x 11 x 11 x 41 x 257 x 25 = 63748850

Therefore, the lowest common multiple of 121,902,514,550 is 63748850.

LCM Formula to Find Lowest Common Multiple of 121,902,514,550

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.

121 x 902 x 514 x 550 = 30854443400

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.

121 : 1, 11, 121

902 : 1, 2, 11, 22, 41, 82, 451, 902

514 : 1, 2, 257, 514

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,902,514,550, is 1.

Now, the common factors can be found like this.

121:11x 11

902:2x 11x 41

514:2x 257

550:2x 5x 5x 11

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 30854443400/(1x484)

LCM = 30854443400/484

LCM = 63748850

Thus, we can understand that the LCM of 121,902,514,550 is 63748850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 902, 514, 550

1. What is the LCM of 121, 902, 514, 550?

Answer: LCM of 121, 902, 514, 550 is 63748850.

2. How to calculate the LCM of 121, 902, 514, 550?

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 121, 902, 514, 550.

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}.