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LCM of 237, 586, 411, 137

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


Find the LCM of 237, 586, 411, 137 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 237, 586, 411, 137. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 237,586,411,137

Given numbers are 237,586,411,137

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

The LCM of 237,586,411,137 is 19026834.

Find LCM of 237,586,411,137 with Prime Factorization


3 237, 586, 411, 137
137 79, 586, 137, 137
79, 586, 1, 1

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

3 x 137 x 79 x 586 x 1 x 1 = 19026834

Therefore, the lowest common multiple of 237,586,411,137 is 19026834.

LCM Formula to Find Lowest Common Multiple of 237,586,411,137

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.

237 x 586 x 411 x 137 = 7820028774

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.

237 : 1, 3, 79, 237

586 : 1, 2, 293, 586

411 : 1, 3, 137, 411

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,586,411,137, is 1.

Now, the common factors can be found like this.

237:3x 79

586:2x 293

411:3x 137

137:137

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

3x 137 = 411

Therefore, the value for common factors is 411.

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 = 7820028774/(1x411)

LCM = 7820028774/411

LCM = 19026834

Thus, we can understand that the LCM of 237,586,411,137 is 19026834.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 237, 586, 411, 137

1. What is the LCM of 237, 586, 411, 137?

Answer: LCM of 237, 586, 411, 137 is 19026834.

2. How to calculate the LCM of 237, 586, 411, 137?

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 237, 586, 411, 137.

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}.