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LCM of 796, 724, 446, 364

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


Find the LCM of 796, 724, 446, 364 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 796, 724, 446, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,724,446,364

Given numbers are 796,724,446,364

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

The LCM of 796,724,446,364 is 2923734268.

Find LCM of 796,724,446,364 with Prime Factorization


2 796, 724, 446, 364
2 398, 362, 223, 182
199, 181, 223, 91

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

2 x 2 x 199 x 181 x 223 x 91 = 2923734268

Therefore, the lowest common multiple of 796,724,446,364 is 2923734268.

LCM Formula to Find Lowest Common Multiple of 796,724,446,364

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.

796 x 724 x 446 x 364 = 93559496576

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.

796 : 1, 2, 4, 199, 398, 796

724 : 1, 2, 4, 181, 362, 724

446 : 1, 2, 223, 446

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,724,446,364, is 2.

Now, the common factors can be found like this.

796:2x 2x 199

724:2x 2x 181

446:2x 223

364:2x 2x 7x 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 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 93559496576/(2x16)

LCM = 93559496576/32

LCM = 2923734268

Thus, we can understand that the LCM of 796,724,446,364 is 2923734268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 724, 446, 364

1. What is the LCM of 796, 724, 446, 364?

Answer: LCM of 796, 724, 446, 364 is 2923734268.

2. How to calculate the LCM of 796, 724, 446, 364?

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 796, 724, 446, 364.

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}.