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LCM of 476, 391, 275, 836

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


Find the LCM of 476, 391, 275, 836 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 476, 391, 275, 836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 476,391,275,836

Given numbers are 476,391,275,836

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

The LCM of 476,391,275,836 is 57203300.

Find LCM of 476,391,275,836 with Prime Factorization


2 476, 391, 275, 836
2 238, 391, 275, 418
11 119, 391, 275, 209
17 119, 391, 25, 19
7, 23, 25, 19

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

2 x 2 x 11 x 17 x 7 x 23 x 25 x 19 = 57203300

Therefore, the lowest common multiple of 476,391,275,836 is 57203300.

LCM Formula to Find Lowest Common Multiple of 476,391,275,836

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.

476 x 391 x 275 x 836 = 42788068400

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

391 : 1, 17, 23, 391

275 : 1, 5, 11, 25, 55, 275

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,391,275,836, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

391:17x 23

275:5x 5x 11

836:2x 2x 11x 19

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 11x 17 = 748

Therefore, the value for common factors is 748.

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 = 42788068400/(1x748)

LCM = 42788068400/748

LCM = 57203300

Thus, we can understand that the LCM of 476,391,275,836 is 57203300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 476, 391, 275, 836

1. What is the LCM of 476, 391, 275, 836?

Answer: LCM of 476, 391, 275, 836 is 57203300.

2. How to calculate the LCM of 476, 391, 275, 836?

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 476, 391, 275, 836.

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}.