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LCM of 836, 844, 403, 271

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


Find the LCM of 836, 844, 403, 271 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 836, 844, 403, 271. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,844,403,271

Given numbers are 836,844,403,271

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

The LCM of 836,844,403,271 is 19264736348.

Find LCM of 836,844,403,271 with Prime Factorization


2 836, 844, 403, 271
2 418, 422, 403, 271
209, 211, 403, 271

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

2 x 2 x 209 x 211 x 403 x 271 = 19264736348

Therefore, the lowest common multiple of 836,844,403,271 is 19264736348.

LCM Formula to Find Lowest Common Multiple of 836,844,403,271

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.

836 x 844 x 403 x 271 = 77058945392

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.

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

844 : 1, 2, 4, 211, 422, 844

403 : 1, 13, 31, 403

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,844,403,271, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

844:2x 2x 211

403:13x 31

271:271

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 77058945392/(1x4)

LCM = 77058945392/4

LCM = 19264736348

Thus, we can understand that the LCM of 836,844,403,271 is 19264736348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 844, 403, 271

1. What is the LCM of 836, 844, 403, 271?

Answer: LCM of 836, 844, 403, 271 is 19264736348.

2. How to calculate the LCM of 836, 844, 403, 271?

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 836, 844, 403, 271.

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}.