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LCM of 406, 553, 349, 581, 237

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


Find the LCM of 406, 553, 349, 581, 237 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 406, 553, 349, 581, 237. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 406,553,349,581,237

Given numbers are 406,553,349,581,237

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

The LCM of 406,553,349,581,237 is 2787262674.

Find LCM of 406,553,349,581,237 with Prime Factorization


7 406, 553, 349, 581, 237
79 58, 79, 349, 83, 237
58, 1, 349, 83, 3

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

7 x 79 x 58 x 1 x 349 x 83 x 3 = 2787262674

Therefore, the lowest common multiple of 406,553,349,581,237 is 2787262674.

LCM Formula to Find Lowest Common Multiple of 406,553,349,581,237

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.

406 x 553 x 349 x 581 x 237 = 10789493811054

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.

406 : 1, 2, 7, 14, 29, 58, 203, 406

553 : 1, 7, 79, 553

349 : 1, 349

581 : 1, 7, 83, 581

237 : 1, 3, 79, 237

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,553,349,581,237, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

553:7x 79

349:349

581:7x 83

237:3x 79

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

7x 7x 79 = 3871

Therefore, the value for common factors is 3871.

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 = 10789493811054/(1x3871)

LCM = 10789493811054/3871

LCM = 2787262674

Thus, we can understand that the LCM of 406,553,349,581,237 is 2787262674.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 406, 553, 349, 581, 237

1. What is the LCM of 406, 553, 349, 581, 237?

Answer: LCM of 406, 553, 349, 581, 237 is 2787262674.

2. How to calculate the LCM of 406, 553, 349, 581, 237?

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 406, 553, 349, 581, 237.

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}.