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LCM of 479, 767, 247, 436, 286

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


Find the LCM of 479, 767, 247, 436, 286 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 479, 767, 247, 436, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 479,767,247,436,286

Given numbers are 479,767,247,436,286

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

The LCM of 479,767,247,436,286 is 33478319732.

Find LCM of 479,767,247,436,286 with Prime Factorization


2 479, 767, 247, 436, 286
13 479, 767, 247, 218, 143
479, 59, 19, 218, 11

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

2 x 13 x 479 x 59 x 19 x 218 x 11 = 33478319732

Therefore, the lowest common multiple of 479,767,247,436,286 is 33478319732.

LCM Formula to Find Lowest Common Multiple of 479,767,247,436,286

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.

479 x 767 x 247 x 436 x 286 = 11315672069416

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.

479 : 1, 479

767 : 1, 13, 59, 767

247 : 1, 13, 19, 247

436 : 1, 2, 4, 109, 218, 436

286 : 1, 2, 11, 13, 22, 26, 143, 286

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,767,247,436,286, is 1.

Now, the common factors can be found like this.

479:479

767:13x 59

247:13x 19

436:2x 2x 109

286:2x 11x 13

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 11315672069416/(1x338)

LCM = 11315672069416/338

LCM = 33478319732

Thus, we can understand that the LCM of 479,767,247,436,286 is 33478319732.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 479, 767, 247, 436, 286

1. What is the LCM of 479, 767, 247, 436, 286?

Answer: LCM of 479, 767, 247, 436, 286 is 33478319732.

2. How to calculate the LCM of 479, 767, 247, 436, 286?

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 479, 767, 247, 436, 286.

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}.