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LCM of 935, 662, 323, 836

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


Find the LCM of 935, 662, 323, 836 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 935, 662, 323, 836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,662,323,836

Given numbers are 935,662,323,836

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

The LCM of 935,662,323,836 is 23520860.

Find LCM of 935,662,323,836 with Prime Factorization


2 935, 662, 323, 836
11 935, 331, 323, 418
17 85, 331, 323, 38
19 5, 331, 19, 38
5, 331, 1, 2

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

2 x 11 x 17 x 19 x 5 x 331 x 1 x 2 = 23520860

Therefore, the lowest common multiple of 935,662,323,836 is 23520860.

LCM Formula to Find Lowest Common Multiple of 935,662,323,836

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.

935 x 662 x 323 x 836 = 167139231160

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

662 : 1, 2, 331, 662

323 : 1, 17, 19, 323

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,662,323,836, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

662:2x 331

323:17x 19

836:2x 2x 11x 19

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 17x 19 = 7106

Therefore, the value for common factors is 7106.

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 = 167139231160/(1x7106)

LCM = 167139231160/7106

LCM = 23520860

Thus, we can understand that the LCM of 935,662,323,836 is 23520860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 662, 323, 836

1. What is the LCM of 935, 662, 323, 836?

Answer: LCM of 935, 662, 323, 836 is 23520860.

2. How to calculate the LCM of 935, 662, 323, 836?

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 935, 662, 323, 836.

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}.