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LCM of 635, 236, 755, 917

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


Find the LCM of 635, 236, 755, 917 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 635, 236, 755, 917. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 635,236,755,917

Given numbers are 635,236,755,917

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

The LCM of 635,236,755,917 is 20750664620.

Find LCM of 635,236,755,917 with Prime Factorization


5 635, 236, 755, 917
127, 236, 151, 917

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

5 x 127 x 236 x 151 x 917 = 20750664620

Therefore, the lowest common multiple of 635,236,755,917 is 20750664620.

LCM Formula to Find Lowest Common Multiple of 635,236,755,917

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.

635 x 236 x 755 x 917 = 103753323100

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.

635 : 1, 5, 127, 635

236 : 1, 2, 4, 59, 118, 236

755 : 1, 5, 151, 755

917 : 1, 7, 131, 917

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,236,755,917, is 1.

Now, the common factors can be found like this.

635:5x 127

236:2x 2x 59

755:5x 151

917:7x 131

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 = 103753323100/(1x5)

LCM = 103753323100/5

LCM = 20750664620

Thus, we can understand that the LCM of 635,236,755,917 is 20750664620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 635, 236, 755, 917

1. What is the LCM of 635, 236, 755, 917?

Answer: LCM of 635, 236, 755, 917 is 20750664620.

2. How to calculate the LCM of 635, 236, 755, 917?

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 635, 236, 755, 917.

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}.