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LCM of 796, 856, 736, 506

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


Find the LCM of 796, 856, 736, 506 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, 856, 736, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 796,856,736,506

Given numbers are 796,856,736,506

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

The LCM of 796,856,736,506 is 172388128.

Find LCM of 796,856,736,506 with Prime Factorization


2 796, 856, 736, 506
2 398, 428, 368, 253
2 199, 214, 184, 253
23 199, 107, 92, 253
199, 107, 4, 11

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

2 x 2 x 2 x 23 x 199 x 107 x 4 x 11 = 172388128

Therefore, the lowest common multiple of 796,856,736,506 is 172388128.

LCM Formula to Find Lowest Common Multiple of 796,856,736,506

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 856 x 736 x 506 = 253755324416

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,856,736,506, is 2.

Now, the common factors can be found like this.

796:2x 2x 199

856:2x 2x 2x 107

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

506:2x 11x 23

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 2x 2x 23 = 736

Therefore, the value for common factors is 736.

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 = 253755324416/(2x736)

LCM = 253755324416/1472

LCM = 172388128

Thus, we can understand that the LCM of 796,856,736,506 is 172388128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 796, 856, 736, 506

1. What is the LCM of 796, 856, 736, 506?

Answer: LCM of 796, 856, 736, 506 is 172388128.

2. How to calculate the LCM of 796, 856, 736, 506?

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, 856, 736, 506.

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}.