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 342, 824, 906, 876

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


Find the LCM of 342, 824, 906, 876 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 342, 824, 906, 876. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 342,824,906,876

Given numbers are 342,824,906,876

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

The LCM of 342,824,906,876 is 1553184792.

Find LCM of 342,824,906,876 with Prime Factorization


2 342, 824, 906, 876
2 171, 412, 453, 438
3 171, 206, 453, 219
57, 206, 151, 73

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

2 x 2 x 3 x 57 x 206 x 151 x 73 = 1553184792

Therefore, the lowest common multiple of 342,824,906,876 is 1553184792.

LCM Formula to Find Lowest Common Multiple of 342,824,906,876

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.

342 x 824 x 906 x 876 = 223658610048

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.

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

906 : 1, 2, 3, 6, 151, 302, 453, 906

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,824,906,876, is 2.

Now, the common factors can be found like this.

342:2x 3x 3x 19

824:2x 2x 2x 103

906:2x 3x 151

876:2x 2x 3x 73

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 223658610048/(2x72)

LCM = 223658610048/144

LCM = 1553184792

Thus, we can understand that the LCM of 342,824,906,876 is 1553184792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 342, 824, 906, 876

1. What is the LCM of 342, 824, 906, 876?

Answer: LCM of 342, 824, 906, 876 is 1553184792.

2. How to calculate the LCM of 342, 824, 906, 876?

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 342, 824, 906, 876.

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}.