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 538, 979, 935, 398

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


Find the LCM of 538, 979, 935, 398 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 538, 979, 935, 398. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 538,979,935,398

Given numbers are 538,979,935,398

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

The LCM of 538,979,935,398 is 8909164330.

Find LCM of 538,979,935,398 with Prime Factorization


2 538, 979, 935, 398
11 269, 979, 935, 199
269, 89, 85, 199

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

2 x 11 x 269 x 89 x 85 x 199 = 8909164330

Therefore, the lowest common multiple of 538,979,935,398 is 8909164330.

LCM Formula to Find Lowest Common Multiple of 538,979,935,398

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.

538 x 979 x 935 x 398 = 196001615260

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.

538 : 1, 2, 269, 538

979 : 1, 11, 89, 979

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

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,979,935,398, is 1.

Now, the common factors can be found like this.

538:2x 269

979:11x 89

935:5x 11x 17

398:2x 199

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 196001615260/(1x22)

LCM = 196001615260/22

LCM = 8909164330

Thus, we can understand that the LCM of 538,979,935,398 is 8909164330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 538, 979, 935, 398

1. What is the LCM of 538, 979, 935, 398?

Answer: LCM of 538, 979, 935, 398 is 8909164330.

2. How to calculate the LCM of 538, 979, 935, 398?

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 538, 979, 935, 398.

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}.