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LCM of 337, 657, 583, 253, 461

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


Find the LCM of 337, 657, 583, 253, 461 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 337, 657, 583, 253, 461. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 337,657,583,253,461

Given numbers are 337,657,583,253,461

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

The LCM of 337,657,583,253,461 is 1368650582541.

Find LCM of 337,657,583,253,461 with Prime Factorization


11 337, 657, 583, 253, 461
337, 657, 53, 23, 461

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

11 x 337 x 657 x 53 x 23 x 461 = 1368650582541

Therefore, the lowest common multiple of 337,657,583,253,461 is 1368650582541.

LCM Formula to Find Lowest Common Multiple of 337,657,583,253,461

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.

337 x 657 x 583 x 253 x 461 = 15055156407951

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.

337 : 1, 337

657 : 1, 3, 9, 73, 219, 657

583 : 1, 11, 53, 583

253 : 1, 11, 23, 253

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,657,583,253,461, is 1.

Now, the common factors can be found like this.

337:337

657:3x 3x 73

583:11x 53

253:11x 23

461:461

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

11 = 11

Therefore, the value for common factors is 11.

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 = 15055156407951/(1x11)

LCM = 15055156407951/11

LCM = 1368650582541

Thus, we can understand that the LCM of 337,657,583,253,461 is 1368650582541.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 337, 657, 583, 253, 461

1. What is the LCM of 337, 657, 583, 253, 461?

Answer: LCM of 337, 657, 583, 253, 461 is 1368650582541.

2. How to calculate the LCM of 337, 657, 583, 253, 461?

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 337, 657, 583, 253, 461.

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}.