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LCM of 331, 551, 836, 407

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


Find the LCM of 331, 551, 836, 407 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 331, 551, 836, 407. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,551,836,407

Given numbers are 331,551,836,407

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

The LCM of 331,551,836,407 is 296916268.

Find LCM of 331,551,836,407 with Prime Factorization


11 331, 551, 836, 407
19 331, 551, 76, 37
331, 29, 4, 37

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

11 x 19 x 331 x 29 x 4 x 37 = 296916268

Therefore, the lowest common multiple of 331,551,836,407 is 296916268.

LCM Formula to Find Lowest Common Multiple of 331,551,836,407

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.

331 x 551 x 836 x 407 = 62055500012

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.

331 : 1, 331

551 : 1, 19, 29, 551

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,551,836,407, is 1.

Now, the common factors can be found like this.

331:331

551:19x 29

836:2x 2x 11x 19

407:11x 37

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 = 62055500012/(1x209)

LCM = 62055500012/209

LCM = 296916268

Thus, we can understand that the LCM of 331,551,836,407 is 296916268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 551, 836, 407

1. What is the LCM of 331, 551, 836, 407?

Answer: LCM of 331, 551, 836, 407 is 296916268.

2. How to calculate the LCM of 331, 551, 836, 407?

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 331, 551, 836, 407.

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}.