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LCM of 279, 663, 940, 687, 310

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


Find the LCM of 279, 663, 940, 687, 310 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 279, 663, 940, 687, 310. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 279,663,940,687,310

Given numbers are 279,663,940,687,310

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

The LCM of 279,663,940,687,310 is 13272716340.

Find LCM of 279,663,940,687,310 with Prime Factorization


2 279, 663, 940, 687, 310
3 279, 663, 470, 687, 155
5 93, 221, 470, 229, 155
31 93, 221, 94, 229, 31
3, 221, 94, 229, 1

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

2 x 3 x 5 x 31 x 3 x 221 x 94 x 229 x 1 = 13272716340

Therefore, the lowest common multiple of 279,663,940,687,310 is 13272716340.

LCM Formula to Find Lowest Common Multiple of 279,663,940,687,310

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.

279 x 663 x 940 x 687 x 310 = 37030878588600

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.

279 : 1, 3, 9, 31, 93, 279

663 : 1, 3, 13, 17, 39, 51, 221, 663

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

687 : 1, 3, 229, 687

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,663,940,687,310, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

663:3x 13x 17

940:2x 2x 5x 47

687:3x 229

310:2x 5x 31

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 3x 5x 31 = 2790

Therefore, the value for common factors is 2790.

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 = 37030878588600/(1x2790)

LCM = 37030878588600/2790

LCM = 13272716340

Thus, we can understand that the LCM of 279,663,940,687,310 is 13272716340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 279, 663, 940, 687, 310

1. What is the LCM of 279, 663, 940, 687, 310?

Answer: LCM of 279, 663, 940, 687, 310 is 13272716340.

2. How to calculate the LCM of 279, 663, 940, 687, 310?

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 279, 663, 940, 687, 310.

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}.