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LCM of 8987, 5358

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


Find the LCM of 8987, 5358 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 8987, 5358. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8987,5358

Given numbers are 8987,5358

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

The LCM of 8987,5358 is 2534334.

Find LCM of 8987,5358 with Prime Factorization


19 8987, 5358
473, 282

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

19 x 473 x 282 = 2534334

Therefore, the lowest common multiple of 8987,5358 is 2534334.

LCM Formula to Find Lowest Common Multiple of 8987,5358

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.

8987 x 5358 = 48152346

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.

8987 : 1, 11, 19, 43, 209, 473, 817, 8987

5358 : 1, 2, 3, 6, 19, 38, 47, 57, 94, 114, 141, 282, 893, 1786, 2679, 5358

19 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8987,5358, is 19.

Now, the common factors can be found like this.

8987:11x 19x 43

5358:2x 3x 19x 47

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

= 1

Therefore, the value for common factors is 1.

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 = 48152346/(19x1)

LCM = 48152346/19

LCM = 2534334

Thus, we can understand that the LCM of 8987,5358 is 2534334.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8987, 5358

1. What is the LCM of 8987, 5358?

Answer: LCM of 8987, 5358 is 2534334.

2. How to calculate the LCM of 8987, 5358?

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 8987, 5358.

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}.