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LCM of 242, 164, 911, 577, 867

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


Find the LCM of 242, 164, 911, 577, 867 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, 164, 911, 577, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,164,911,577,867

Given numbers are 242,164,911,577,867

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

The LCM of 242,164,911,577,867 is 9043624171956.

Find LCM of 242,164,911,577,867 with Prime Factorization


2 242, 164, 911, 577, 867
121, 82, 911, 577, 867

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

2 x 121 x 82 x 911 x 577 x 867 = 9043624171956

Therefore, the lowest common multiple of 242,164,911,577,867 is 9043624171956.

LCM Formula to Find Lowest Common Multiple of 242,164,911,577,867

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 164 x 911 x 577 x 867 = 18087248343912

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

164 : 1, 2, 4, 41, 82, 164

911 : 1, 911

577 : 1, 577

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,164,911,577,867, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

164:2x 2x 41

911:911

577:577

867:3x 17x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 18087248343912/(1x2)

LCM = 18087248343912/2

LCM = 9043624171956

Thus, we can understand that the LCM of 242,164,911,577,867 is 9043624171956.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 164, 911, 577, 867

1. What is the LCM of 242, 164, 911, 577, 867?

Answer: LCM of 242, 164, 911, 577, 867 is 9043624171956.

2. How to calculate the LCM of 242, 164, 911, 577, 867?

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, 164, 911, 577, 867.

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}.