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LCM of 337, 613, 454, 521, 684

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


Find the LCM of 337, 613, 454, 521, 684 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, 613, 454, 521, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 337,613,454,521,684

Given numbers are 337,613,454,521,684

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

The LCM of 337,613,454,521,684 is 16711293146868.

Find LCM of 337,613,454,521,684 with Prime Factorization


2 337, 613, 454, 521, 684
337, 613, 227, 521, 342

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

2 x 337 x 613 x 227 x 521 x 342 = 16711293146868

Therefore, the lowest common multiple of 337,613,454,521,684 is 16711293146868.

LCM Formula to Find Lowest Common Multiple of 337,613,454,521,684

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 613 x 454 x 521 x 684 = 33422586293736

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

613 : 1, 613

454 : 1, 2, 227, 454

521 : 1, 521

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,613,454,521,684, is 1.

Now, the common factors can be found like this.

337:337

613:613

454:2x 227

521:521

684:2x 2x 3x 3x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 33422586293736/(1x2)

LCM = 33422586293736/2

LCM = 16711293146868

Thus, we can understand that the LCM of 337,613,454,521,684 is 16711293146868.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 337, 613, 454, 521, 684

1. What is the LCM of 337, 613, 454, 521, 684?

Answer: LCM of 337, 613, 454, 521, 684 is 16711293146868.

2. How to calculate the LCM of 337, 613, 454, 521, 684?

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, 613, 454, 521, 684.

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}.