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LCM of 411, 302, 609, 385, 151

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


Find the LCM of 411, 302, 609, 385, 151 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 411, 302, 609, 385, 151. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 411,302,609,385,151

Given numbers are 411,302,609,385,151

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

The LCM of 411,302,609,385,151 is 1385822130.

Find LCM of 411,302,609,385,151 with Prime Factorization


3 411, 302, 609, 385, 151
7 137, 302, 203, 385, 151
151 137, 302, 29, 55, 151
137, 2, 29, 55, 1

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

3 x 7 x 151 x 137 x 2 x 29 x 55 x 1 = 1385822130

Therefore, the lowest common multiple of 411,302,609,385,151 is 1385822130.

LCM Formula to Find Lowest Common Multiple of 411,302,609,385,151

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.

411 x 302 x 609 x 385 x 151 = 4394441974230

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.

411 : 1, 3, 137, 411

302 : 1, 2, 151, 302

609 : 1, 3, 7, 21, 29, 87, 203, 609

385 : 1, 5, 7, 11, 35, 55, 77, 385

151 : 1, 151

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,302,609,385,151, is 1.

Now, the common factors can be found like this.

411:3x 137

302:2x 151

609:3x 7x 29

385:5x 7x 11

151:151

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

3x 7x 151 = 3171

Therefore, the value for common factors is 3171.

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 = 4394441974230/(1x3171)

LCM = 4394441974230/3171

LCM = 1385822130

Thus, we can understand that the LCM of 411,302,609,385,151 is 1385822130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 411, 302, 609, 385, 151

1. What is the LCM of 411, 302, 609, 385, 151?

Answer: LCM of 411, 302, 609, 385, 151 is 1385822130.

2. How to calculate the LCM of 411, 302, 609, 385, 151?

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 411, 302, 609, 385, 151.

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}.