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LCM of 693, 231, 931, 908

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


Find the LCM of 693, 231, 931, 908 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 693, 231, 931, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 693,231,931,908

Given numbers are 693,231,931,908

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

The LCM of 693,231,931,908 is 83689452.

Find LCM of 693,231,931,908 with Prime Factorization


3 693, 231, 931, 908
7 231, 77, 931, 908
11 33, 11, 133, 908
3, 1, 133, 908

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

3 x 7 x 11 x 3 x 1 x 133 x 908 = 83689452

Therefore, the lowest common multiple of 693,231,931,908 is 83689452.

LCM Formula to Find Lowest Common Multiple of 693,231,931,908

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.

693 x 231 x 931 x 908 = 135325843884

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.

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

231 : 1, 3, 7, 11, 21, 33, 77, 231

931 : 1, 7, 19, 49, 133, 931

908 : 1, 2, 4, 227, 454, 908

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,231,931,908, is 1.

Now, the common factors can be found like this.

693:3x 3x 7x 11

231:3x 7x 11

931:7x 7x 19

908:2x 2x 227

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

3x 7x 7x 11 = 1617

Therefore, the value for common factors is 1617.

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 = 135325843884/(1x1617)

LCM = 135325843884/1617

LCM = 83689452

Thus, we can understand that the LCM of 693,231,931,908 is 83689452.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 693, 231, 931, 908

1. What is the LCM of 693, 231, 931, 908?

Answer: LCM of 693, 231, 931, 908 is 83689452.

2. How to calculate the LCM of 693, 231, 931, 908?

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 693, 231, 931, 908.

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}.