LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 836, 165, 572, 264, 861

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


Find the LCM of 836, 165, 572, 264, 861 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, 165, 572, 264, 861. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,165,572,264,861

Given numbers are 836,165,572,264,861

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

The LCM of 836,165,572,264,861 is 93573480.

Find LCM of 836,165,572,264,861 with Prime Factorization


2 836, 165, 572, 264, 861
2 418, 165, 286, 132, 861
3 209, 165, 143, 66, 861
11 209, 55, 143, 22, 287
19, 5, 13, 2, 287

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

2 x 2 x 3 x 11 x 19 x 5 x 13 x 2 x 287 = 93573480

Therefore, the lowest common multiple of 836,165,572,264,861 is 93573480.

LCM Formula to Find Lowest Common Multiple of 836,165,572,264,861

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 165 x 572 x 264 x 861 = 17934667470720

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

165 : 1, 3, 5, 11, 15, 33, 55, 165

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

861 : 1, 3, 7, 21, 41, 123, 287, 861

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,165,572,264,861, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

165:3x 5x 11

572:2x 2x 11x 13

264:2x 2x 2x 3x 11

861:3x 7x 41

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 3x 3x 11x 11x 11 = 191664

Therefore, the value for common factors is 191664.

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 = 17934667470720/(1x191664)

LCM = 17934667470720/191664

LCM = 93573480

Thus, we can understand that the LCM of 836,165,572,264,861 is 93573480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 165, 572, 264, 861

1. What is the LCM of 836, 165, 572, 264, 861?

Answer: LCM of 836, 165, 572, 264, 861 is 93573480.

2. How to calculate the LCM of 836, 165, 572, 264, 861?

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, 165, 572, 264, 861.

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}.