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LCM of 887, 638, 341, 279

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


Find the LCM of 887, 638, 341, 279 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 887, 638, 341, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 887,638,341,279

Given numbers are 887,638,341,279

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

The LCM of 887,638,341,279 is 157887774.

Find LCM of 887,638,341,279 with Prime Factorization


11 887, 638, 341, 279
31 887, 58, 31, 279
887, 58, 1, 9

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

11 x 31 x 887 x 58 x 1 x 9 = 157887774

Therefore, the lowest common multiple of 887,638,341,279 is 157887774.

LCM Formula to Find Lowest Common Multiple of 887,638,341,279

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.

887 x 638 x 341 x 279 = 53839730934

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.

887 : 1, 887

638 : 1, 2, 11, 22, 29, 58, 319, 638

341 : 1, 11, 31, 341

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,638,341,279, is 1.

Now, the common factors can be found like this.

887:887

638:2x 11x 29

341:11x 31

279:3x 3x 31

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

11x 31 = 341

Therefore, the value for common factors is 341.

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 = 53839730934/(1x341)

LCM = 53839730934/341

LCM = 157887774

Thus, we can understand that the LCM of 887,638,341,279 is 157887774.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 887, 638, 341, 279

1. What is the LCM of 887, 638, 341, 279?

Answer: LCM of 887, 638, 341, 279 is 157887774.

2. How to calculate the LCM of 887, 638, 341, 279?

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 887, 638, 341, 279.

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}.