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 387, 418, 428

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


Find the LCM of 387, 418, 428 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 387, 418, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,418,428

Given numbers are 387,418,428

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

The LCM of 387,418,428 is 34617924.

Find LCM of 387,418,428 with Prime Factorization


2 387, 418, 428
387, 209, 214

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

2 x 387 x 209 x 214 = 34617924

Therefore, the lowest common multiple of 387,418,428 is 34617924.

LCM Formula to Find Lowest Common Multiple of 387,418,428

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.

387 x 418 x 428 = 69235848

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.

387 : 1, 3, 9, 43, 129, 387

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

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,418,428, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

418:2x 11x 19

428:2x 2x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 69235848/(1x2)

LCM = 69235848/2

LCM = 34617924

Thus, we can understand that the LCM of 387,418,428 is 34617924.

LCM of two or more Numbers Calculation Examples

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

FAQs on LCM of 387, 418, 428

1. What is the LCM of 387, 418, 428?

Answer: LCM of 387, 418, 428 is 34617924.

2. How to calculate the LCM of 387, 418, 428?

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 387, 418, 428.

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}.