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LCM of 496, 312, 271, 819, 599

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


Find the LCM of 496, 312, 271, 819, 599 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 496, 312, 271, 819, 599. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 496,312,271,819,599

Given numbers are 496,312,271,819,599

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

The LCM of 496,312,271,819,599 is 65941935696.

Find LCM of 496,312,271,819,599 with Prime Factorization


2 496, 312, 271, 819, 599
2 248, 156, 271, 819, 599
2 124, 78, 271, 819, 599
3 62, 39, 271, 819, 599
13 62, 13, 271, 273, 599
62, 1, 271, 21, 599

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

2 x 2 x 2 x 3 x 13 x 62 x 1 x 271 x 21 x 599 = 65941935696

Therefore, the lowest common multiple of 496,312,271,819,599 is 65941935696.

LCM Formula to Find Lowest Common Multiple of 496,312,271,819,599

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.

496 x 312 x 271 x 819 x 599 = 20573883937152

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

271 : 1, 271

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

599 : 1, 599

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,312,271,819,599, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

312:2x 2x 2x 3x 13

271:271

819:3x 3x 7x 13

599:599

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 2x 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 20573883937152/(1x312)

LCM = 20573883937152/312

LCM = 65941935696

Thus, we can understand that the LCM of 496,312,271,819,599 is 65941935696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 496, 312, 271, 819, 599

1. What is the LCM of 496, 312, 271, 819, 599?

Answer: LCM of 496, 312, 271, 819, 599 is 65941935696.

2. How to calculate the LCM of 496, 312, 271, 819, 599?

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 496, 312, 271, 819, 599.

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}.