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LCM of 5363, 2015

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


Find the LCM of 5363, 2015 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 5363, 2015. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5363,2015

Given numbers are 5363,2015

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

The LCM of 5363,2015 is 348595.

Find LCM of 5363,2015 with Prime Factorization


31 5363, 2015
173, 65

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

31 x 173 x 65 = 348595

Therefore, the lowest common multiple of 5363,2015 is 348595.

LCM Formula to Find Lowest Common Multiple of 5363,2015

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.

5363 x 2015 = 10806445

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.

5363 : 1, 31, 173, 5363

2015 : 1, 5, 13, 31, 65, 155, 403, 2015

31 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5363,2015, is 31.

Now, the common factors can be found like this.

5363:31x 173

2015:5x 13x 31

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 = 10806445/(31x1)

LCM = 10806445/31

LCM = 348595

Thus, we can understand that the LCM of 5363,2015 is 348595.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5363, 2015

1. What is the LCM of 5363, 2015?

Answer: LCM of 5363, 2015 is 348595.

2. How to calculate the LCM of 5363, 2015?

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 5363, 2015.

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}.