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LCM of 361, 635, 815, 547

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


Find the LCM of 361, 635, 815, 547 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 361, 635, 815, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,635,815,547

Given numbers are 361,635,815,547

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

The LCM of 361,635,815,547 is 20438821835.

Find LCM of 361,635,815,547 with Prime Factorization


5 361, 635, 815, 547
361, 127, 163, 547

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

5 x 361 x 127 x 163 x 547 = 20438821835

Therefore, the lowest common multiple of 361,635,815,547 is 20438821835.

LCM Formula to Find Lowest Common Multiple of 361,635,815,547

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.

361 x 635 x 815 x 547 = 102194109175

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.

361 : 1, 19, 361

635 : 1, 5, 127, 635

815 : 1, 5, 163, 815

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,635,815,547, is 1.

Now, the common factors can be found like this.

361:19x 19

635:5x 127

815:5x 163

547:547

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

5 = 5

Therefore, the value for common factors is 5.

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 = 102194109175/(1x5)

LCM = 102194109175/5

LCM = 20438821835

Thus, we can understand that the LCM of 361,635,815,547 is 20438821835.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 635, 815, 547

1. What is the LCM of 361, 635, 815, 547?

Answer: LCM of 361, 635, 815, 547 is 20438821835.

2. How to calculate the LCM of 361, 635, 815, 547?

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 361, 635, 815, 547.

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}.