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LCM of 220, 540, 110, 836, 635

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


Find the LCM of 220, 540, 110, 836, 635 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 220, 540, 110, 836, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 220,540,110,836,635

Given numbers are 220,540,110,836,635

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

The LCM of 220,540,110,836,635 is 14333220.

Find LCM of 220,540,110,836,635 with Prime Factorization


2 220, 540, 110, 836, 635
2 110, 270, 55, 418, 635
5 55, 135, 55, 209, 635
11 11, 27, 11, 209, 127
1, 27, 1, 19, 127

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

2 x 2 x 5 x 11 x 1 x 27 x 1 x 19 x 127 = 14333220

Therefore, the lowest common multiple of 220,540,110,836,635 is 14333220.

LCM Formula to Find Lowest Common Multiple of 220,540,110,836,635

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.

220 x 540 x 110 x 836 x 635 = 6937278480000

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.

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

110 : 1, 2, 5, 10, 11, 22, 55, 110

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,540,110,836,635, is 1.

Now, the common factors can be found like this.

220:2x 2x 5x 11

540:2x 2x 3x 3x 3x 5

110:2x 5x 11

836:2x 2x 11x 19

635:5x 127

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

2x 2x 2x 2x 2x 5x 5x 5x 11x 11 = 484000

Therefore, the value for common factors is 484000.

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 = 6937278480000/(1x484000)

LCM = 6937278480000/484000

LCM = 14333220

Thus, we can understand that the LCM of 220,540,110,836,635 is 14333220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 220, 540, 110, 836, 635

1. What is the LCM of 220, 540, 110, 836, 635?

Answer: LCM of 220, 540, 110, 836, 635 is 14333220.

2. How to calculate the LCM of 220, 540, 110, 836, 635?

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 220, 540, 110, 836, 635.

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}.