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LCM of 635, 523, 397, 559, 275

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


Find the LCM of 635, 523, 397, 559, 275 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, 523, 397, 559, 275. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 635,523,397,559,275

Given numbers are 635,523,397,559,275

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

The LCM of 635,523,397,559,275 is 4053595585325.

Find LCM of 635,523,397,559,275 with Prime Factorization


5 635, 523, 397, 559, 275
127, 523, 397, 559, 55

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

5 x 127 x 523 x 397 x 559 x 55 = 4053595585325

Therefore, the lowest common multiple of 635,523,397,559,275 is 4053595585325.

LCM Formula to Find Lowest Common Multiple of 635,523,397,559,275

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 523 x 397 x 559 x 275 = 20267977926625

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

523 : 1, 523

397 : 1, 397

559 : 1, 13, 43, 559

275 : 1, 5, 11, 25, 55, 275

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,523,397,559,275, is 1.

Now, the common factors can be found like this.

635:5x 127

523:523

397:397

559:13x 43

275:5x 5x 11

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 = 20267977926625/(1x5)

LCM = 20267977926625/5

LCM = 4053595585325

Thus, we can understand that the LCM of 635,523,397,559,275 is 4053595585325.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 635, 523, 397, 559, 275

1. What is the LCM of 635, 523, 397, 559, 275?

Answer: LCM of 635, 523, 397, 559, 275 is 4053595585325.

2. How to calculate the LCM of 635, 523, 397, 559, 275?

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, 523, 397, 559, 275.

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}.