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LCM of 736, 299, 813, 813

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


Find the LCM of 736, 299, 813, 813 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 736, 299, 813, 813. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 736,299,813,813

Given numbers are 736,299,813,813

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

The LCM of 736,299,813,813 is 7778784.

Find LCM of 736,299,813,813 with Prime Factorization


3 736, 299, 813, 813
23 736, 299, 271, 271
271 32, 13, 271, 271
32, 13, 1, 1

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

3 x 23 x 271 x 32 x 13 x 1 x 1 = 7778784

Therefore, the lowest common multiple of 736,299,813,813 is 7778784.

LCM Formula to Find Lowest Common Multiple of 736,299,813,813

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.

736 x 299 x 813 x 813 = 145455482016

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

299 : 1, 13, 23, 299

813 : 1, 3, 271, 813

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,299,813,813, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

299:13x 23

813:3x 271

813:3x 271

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

3x 23x 271 = 18699

Therefore, the value for common factors is 18699.

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 = 145455482016/(1x18699)

LCM = 145455482016/18699

LCM = 7778784

Thus, we can understand that the LCM of 736,299,813,813 is 7778784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 736, 299, 813, 813

1. What is the LCM of 736, 299, 813, 813?

Answer: LCM of 736, 299, 813, 813 is 7778784.

2. How to calculate the LCM of 736, 299, 813, 813?

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 736, 299, 813, 813.

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}.