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 231, 342, 117, 949

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


Find the LCM of 231, 342, 117, 949 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 231, 342, 117, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 231,342,117,949

Given numbers are 231,342,117,949

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

The LCM of 231,342,117,949 is 24990966.

Find LCM of 231,342,117,949 with Prime Factorization


3 231, 342, 117, 949
3 77, 114, 39, 949
13 77, 38, 13, 949
77, 38, 1, 73

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

3 x 3 x 13 x 77 x 38 x 1 x 73 = 24990966

Therefore, the lowest common multiple of 231,342,117,949 is 24990966.

LCM Formula to Find Lowest Common Multiple of 231,342,117,949

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.

231 x 342 x 117 x 949 = 8771829066

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.

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

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

117 : 1, 3, 9, 13, 39, 117

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,342,117,949, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

342:2x 3x 3x 19

117:3x 3x 13

949:13x 73

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

3x 3x 3x 13 = 351

Therefore, the value for common factors is 351.

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 = 8771829066/(1x351)

LCM = 8771829066/351

LCM = 24990966

Thus, we can understand that the LCM of 231,342,117,949 is 24990966.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 231, 342, 117, 949

1. What is the LCM of 231, 342, 117, 949?

Answer: LCM of 231, 342, 117, 949 is 24990966.

2. How to calculate the LCM of 231, 342, 117, 949?

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 231, 342, 117, 949.

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}.