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 418, 741, 979

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


Find the LCM of 418, 741, 979 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 418, 741, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,741,979

Given numbers are 418,741,979

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

The LCM of 418,741,979 is 1450878.

Find LCM of 418,741,979 with Prime Factorization


11 418, 741, 979
19 38, 741, 89
2, 39, 89

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

11 x 19 x 2 x 39 x 89 = 1450878

Therefore, the lowest common multiple of 418,741,979 is 1450878.

LCM Formula to Find Lowest Common Multiple of 418,741,979

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.

418 x 741 x 979 = 303233502

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

741 : 1, 3, 13, 19, 39, 57, 247, 741

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,741,979, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

741:3x 13x 19

979:11x 89

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

11x 19 = 209

Therefore, the value for common factors is 209.

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 = 303233502/(1x209)

LCM = 303233502/209

LCM = 1450878

Thus, we can understand that the LCM of 418,741,979 is 1450878.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 418, 741, 979

1. What is the LCM of 418, 741, 979?

Answer: LCM of 418, 741, 979 is 1450878.

2. How to calculate the LCM of 418, 741, 979?

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 418, 741, 979.

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}.