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LCM of 836, 411, 497, 682

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


Find the LCM of 836, 411, 497, 682 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, 411, 497, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,411,497,682

Given numbers are 836,411,497,682

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

The LCM of 836,411,497,682 is 5293783572.

Find LCM of 836,411,497,682 with Prime Factorization


2 836, 411, 497, 682
11 418, 411, 497, 341
38, 411, 497, 31

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

2 x 11 x 38 x 411 x 497 x 31 = 5293783572

Therefore, the lowest common multiple of 836,411,497,682 is 5293783572.

LCM Formula to Find Lowest Common Multiple of 836,411,497,682

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 411 x 497 x 682 = 116463238584

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

411 : 1, 3, 137, 411

497 : 1, 7, 71, 497

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,411,497,682, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

411:3x 137

497:7x 71

682:2x 11x 31

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 116463238584/(1x22)

LCM = 116463238584/22

LCM = 5293783572

Thus, we can understand that the LCM of 836,411,497,682 is 5293783572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 411, 497, 682

1. What is the LCM of 836, 411, 497, 682?

Answer: LCM of 836, 411, 497, 682 is 5293783572.

2. How to calculate the LCM of 836, 411, 497, 682?

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, 411, 497, 682.

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}.