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LCM of 597, 299, 182, 121

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


Find the LCM of 597, 299, 182, 121 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 597, 299, 182, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 597,299,182,121

Given numbers are 597,299,182,121

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

The LCM of 597,299,182,121 is 302384082.

Find LCM of 597,299,182,121 with Prime Factorization


13 597, 299, 182, 121
597, 23, 14, 121

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

13 x 597 x 23 x 14 x 121 = 302384082

Therefore, the lowest common multiple of 597,299,182,121 is 302384082.

LCM Formula to Find Lowest Common Multiple of 597,299,182,121

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.

597 x 299 x 182 x 121 = 3930993066

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.

597 : 1, 3, 199, 597

299 : 1, 13, 23, 299

182 : 1, 2, 7, 13, 14, 26, 91, 182

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,299,182,121, is 1.

Now, the common factors can be found like this.

597:3x 199

299:13x 23

182:2x 7x 13

121:11x 11

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

13 = 13

Therefore, the value for common factors is 13.

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 = 3930993066/(1x13)

LCM = 3930993066/13

LCM = 302384082

Thus, we can understand that the LCM of 597,299,182,121 is 302384082.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 597, 299, 182, 121

1. What is the LCM of 597, 299, 182, 121?

Answer: LCM of 597, 299, 182, 121 is 302384082.

2. How to calculate the LCM of 597, 299, 182, 121?

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 597, 299, 182, 121.

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}.