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, 990, 415, 376

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


Find the LCM of 418, 990, 415, 376 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, 990, 415, 376. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,990,415,376

Given numbers are 418,990,415,376

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

The LCM of 418,990,415,376 is 293511240.

Find LCM of 418,990,415,376 with Prime Factorization


2 418, 990, 415, 376
5 209, 495, 415, 188
11 209, 99, 83, 188
19, 9, 83, 188

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

2 x 5 x 11 x 19 x 9 x 83 x 188 = 293511240

Therefore, the lowest common multiple of 418,990,415,376 is 293511240.

LCM Formula to Find Lowest Common Multiple of 418,990,415,376

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 990 x 415 x 376 = 64572472800

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

415 : 1, 5, 83, 415

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,990,415,376, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

990:2x 3x 3x 5x 11

415:5x 83

376:2x 2x 2x 47

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 5x 11 = 220

Therefore, the value for common factors is 220.

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 = 64572472800/(1x220)

LCM = 64572472800/220

LCM = 293511240

Thus, we can understand that the LCM of 418,990,415,376 is 293511240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 990, 415, 376

1. What is the LCM of 418, 990, 415, 376?

Answer: LCM of 418, 990, 415, 376 is 293511240.

2. How to calculate the LCM of 418, 990, 415, 376?

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, 990, 415, 376.

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}.