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LCM of 828, 872, 681, 682, 963

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


Find the LCM of 828, 872, 681, 682, 963 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 828, 872, 681, 682, 963. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,872,681,682,963

Given numbers are 828,872,681,682,963

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

The LCM of 828,872,681,682,963 is 1495033224696.

Find LCM of 828,872,681,682,963 with Prime Factorization


2 828, 872, 681, 682, 963
2 414, 436, 681, 341, 963
3 207, 218, 681, 341, 963
3 69, 218, 227, 341, 321
23, 218, 227, 341, 107

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

2 x 2 x 3 x 3 x 23 x 218 x 227 x 341 x 107 = 1495033224696

Therefore, the lowest common multiple of 828,872,681,682,963 is 1495033224696.

LCM Formula to Find Lowest Common Multiple of 828,872,681,682,963

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.

828 x 872 x 681 x 682 x 963 = 322927176534336

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

872 : 1, 2, 4, 8, 109, 218, 436, 872

681 : 1, 3, 227, 681

682 : 1, 2, 11, 22, 31, 62, 341, 682

963 : 1, 3, 9, 107, 321, 963

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,872,681,682,963, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

872:2x 2x 2x 109

681:3x 227

682:2x 11x 31

963:3x 3x 107

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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 322927176534336/(1x216)

LCM = 322927176534336/216

LCM = 1495033224696

Thus, we can understand that the LCM of 828,872,681,682,963 is 1495033224696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 872, 681, 682, 963

1. What is the LCM of 828, 872, 681, 682, 963?

Answer: LCM of 828, 872, 681, 682, 963 is 1495033224696.

2. How to calculate the LCM of 828, 872, 681, 682, 963?

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 828, 872, 681, 682, 963.

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}.