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LCM of 836, 863, 722, 561

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


Find the LCM of 836, 863, 722, 561 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, 863, 722, 561. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,863,722,561

Given numbers are 836,863,722,561

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

The LCM of 836,863,722,561 is 699102492.

Find LCM of 836,863,722,561 with Prime Factorization


2 836, 863, 722, 561
11 418, 863, 361, 561
19 38, 863, 361, 51
2, 863, 19, 51

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

2 x 11 x 19 x 2 x 863 x 19 x 51 = 699102492

Therefore, the lowest common multiple of 836,863,722,561 is 699102492.

LCM Formula to Find Lowest Common Multiple of 836,863,722,561

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 863 x 722 x 561 = 292224841656

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

863 : 1, 863

722 : 1, 2, 19, 38, 361, 722

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,863,722,561, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

863:863

722:2x 19x 19

561:3x 11x 17

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

2x 11x 19 = 418

Therefore, the value for common factors is 418.

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 = 292224841656/(1x418)

LCM = 292224841656/418

LCM = 699102492

Thus, we can understand that the LCM of 836,863,722,561 is 699102492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 863, 722, 561

1. What is the LCM of 836, 863, 722, 561?

Answer: LCM of 836, 863, 722, 561 is 699102492.

2. How to calculate the LCM of 836, 863, 722, 561?

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, 863, 722, 561.

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}.