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LCM of 796, 144, 583, 491

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


Find the LCM of 796, 144, 583, 491 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, 144, 583, 491. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,144,583,491

Given numbers are 796,144,583,491

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

The LCM of 796,144,583,491 is 8202865968.

Find LCM of 796,144,583,491 with Prime Factorization


2 796, 144, 583, 491
2 398, 72, 583, 491
199, 36, 583, 491

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

2 x 2 x 199 x 36 x 583 x 491 = 8202865968

Therefore, the lowest common multiple of 796,144,583,491 is 8202865968.

LCM Formula to Find Lowest Common Multiple of 796,144,583,491

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 144 x 583 x 491 = 32811463872

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

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

583 : 1, 11, 53, 583

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,144,583,491, is 1.

Now, the common factors can be found like this.

796:2x 2x 199

144:2x 2x 2x 2x 3x 3

583:11x 53

491:491

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 32811463872/(1x4)

LCM = 32811463872/4

LCM = 8202865968

Thus, we can understand that the LCM of 796,144,583,491 is 8202865968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 144, 583, 491

1. What is the LCM of 796, 144, 583, 491?

Answer: LCM of 796, 144, 583, 491 is 8202865968.

2. How to calculate the LCM of 796, 144, 583, 491?

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, 144, 583, 491.

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}.