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LCM of 337, 341, 864, 981, 746

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


Find the LCM of 337, 341, 864, 981, 746 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, 341, 864, 981, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 337,341,864,981,746

Given numbers are 337,341,864,981,746

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

The LCM of 337,341,864,981,746 is 4036763925216.

Find LCM of 337,341,864,981,746 with Prime Factorization


2 337, 341, 864, 981, 746
3 337, 341, 432, 981, 373
3 337, 341, 144, 327, 373
337, 341, 48, 109, 373

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

2 x 3 x 3 x 337 x 341 x 48 x 109 x 373 = 4036763925216

Therefore, the lowest common multiple of 337,341,864,981,746 is 4036763925216.

LCM Formula to Find Lowest Common Multiple of 337,341,864,981,746

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 341 x 864 x 981 x 746 = 72661750653888

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

341 : 1, 11, 31, 341

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

981 : 1, 3, 9, 109, 327, 981

746 : 1, 2, 373, 746

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,341,864,981,746, is 1.

Now, the common factors can be found like this.

337:337

341:11x 31

864:2x 2x 2x 2x 2x 3x 3x 3

981:3x 3x 109

746:2x 373

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 72661750653888/(1x18)

LCM = 72661750653888/18

LCM = 4036763925216

Thus, we can understand that the LCM of 337,341,864,981,746 is 4036763925216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 337, 341, 864, 981, 746

1. What is the LCM of 337, 341, 864, 981, 746?

Answer: LCM of 337, 341, 864, 981, 746 is 4036763925216.

2. How to calculate the LCM of 337, 341, 864, 981, 746?

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, 341, 864, 981, 746.

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}.