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, 127, 838, 508, 938

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


Find the LCM of 342, 127, 838, 508, 938 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, 127, 838, 508, 938. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 342,127,838,508,938

Given numbers are 342,127,838,508,938

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

The LCM of 342,127,838,508,938 is 17070517548.

Find LCM of 342,127,838,508,938 with Prime Factorization


2 342, 127, 838, 508, 938
127 171, 127, 419, 254, 469
171, 1, 419, 2, 469

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

2 x 127 x 171 x 1 x 419 x 2 x 469 = 17070517548

Therefore, the lowest common multiple of 342,127,838,508,938 is 17070517548.

LCM Formula to Find Lowest Common Multiple of 342,127,838,508,938

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 127 x 838 x 508 x 938 = 17343645828768

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

127 : 1, 127

838 : 1, 2, 419, 838

508 : 1, 2, 4, 127, 254, 508

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,127,838,508,938, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

127:127

838:2x 419

508:2x 2x 127

938:2x 7x 67

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 127 = 1016

Therefore, the value for common factors is 1016.

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 = 17343645828768/(1x1016)

LCM = 17343645828768/1016

LCM = 17070517548

Thus, we can understand that the LCM of 342,127,838,508,938 is 17070517548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 342, 127, 838, 508, 938

1. What is the LCM of 342, 127, 838, 508, 938?

Answer: LCM of 342, 127, 838, 508, 938 is 17070517548.

2. How to calculate the LCM of 342, 127, 838, 508, 938?

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, 127, 838, 508, 938.

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}.