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LCM of 794, 513, 281, 364

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


Find the LCM of 794, 513, 281, 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 794, 513, 281, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,513,281,364

Given numbers are 794,513,281,364

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

The LCM of 794,513,281,364 is 20831261724.

Find LCM of 794,513,281,364 with Prime Factorization


2 794, 513, 281, 364
397, 513, 281, 182

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

2 x 397 x 513 x 281 x 182 = 20831261724

Therefore, the lowest common multiple of 794,513,281,364 is 20831261724.

LCM Formula to Find Lowest Common Multiple of 794,513,281,364

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.

794 x 513 x 281 x 364 = 41662523448

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.

794 : 1, 2, 397, 794

513 : 1, 3, 9, 19, 27, 57, 171, 513

281 : 1, 281

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,513,281,364, is 1.

Now, the common factors can be found like this.

794:2x 397

513:3x 3x 3x 19

281:281

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 41662523448/(1x2)

LCM = 41662523448/2

LCM = 20831261724

Thus, we can understand that the LCM of 794,513,281,364 is 20831261724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 513, 281, 364

1. What is the LCM of 794, 513, 281, 364?

Answer: LCM of 794, 513, 281, 364 is 20831261724.

2. How to calculate the LCM of 794, 513, 281, 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 794, 513, 281, 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}.