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LCM of 596, 495, 149, 926, 215

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


Find the LCM of 596, 495, 149, 926, 215 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 596, 495, 149, 926, 215. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 596,495,149,926,215

Given numbers are 596,495,149,926,215

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

The LCM of 596,495,149,926,215 is 5873553180.

Find LCM of 596,495,149,926,215 with Prime Factorization


2 596, 495, 149, 926, 215
5 298, 495, 149, 463, 215
149 298, 99, 149, 463, 43
2, 99, 1, 463, 43

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

2 x 5 x 149 x 2 x 99 x 1 x 463 x 43 = 5873553180

Therefore, the lowest common multiple of 596,495,149,926,215 is 5873553180.

LCM Formula to Find Lowest Common Multiple of 596,495,149,926,215

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.

596 x 495 x 149 x 926 x 215 = 8751594238200

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.

596 : 1, 2, 4, 149, 298, 596

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

149 : 1, 149

926 : 1, 2, 463, 926

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,495,149,926,215, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

495:3x 3x 5x 11

149:149

926:2x 463

215:5x 43

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

2x 5x 149 = 1490

Therefore, the value for common factors is 1490.

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 = 8751594238200/(1x1490)

LCM = 8751594238200/1490

LCM = 5873553180

Thus, we can understand that the LCM of 596,495,149,926,215 is 5873553180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 596, 495, 149, 926, 215

1. What is the LCM of 596, 495, 149, 926, 215?

Answer: LCM of 596, 495, 149, 926, 215 is 5873553180.

2. How to calculate the LCM of 596, 495, 149, 926, 215?

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 596, 495, 149, 926, 215.

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}.