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LCM of 826, 992, 136, 872, 863

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


Find the LCM of 826, 992, 136, 872, 863 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 826, 992, 136, 872, 863. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 826,992,136,872,863

Given numbers are 826,992,136,872,863

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

The LCM of 826,992,136,872,863 is 655160851744.

Find LCM of 826,992,136,872,863 with Prime Factorization


2 826, 992, 136, 872, 863
2 413, 496, 68, 436, 863
2 413, 248, 34, 218, 863
413, 124, 17, 109, 863

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

2 x 2 x 2 x 413 x 124 x 17 x 109 x 863 = 655160851744

Therefore, the lowest common multiple of 826,992,136,872,863 is 655160851744.

LCM Formula to Find Lowest Common Multiple of 826,992,136,872,863

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.

826 x 992 x 136 x 872 x 863 = 83860589023232

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

136 : 1, 2, 4, 8, 17, 34, 68, 136

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

863 : 1, 863

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,992,136,872,863, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

992:2x 2x 2x 2x 2x 31

136:2x 2x 2x 17

872:2x 2x 2x 109

863:863

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 83860589023232/(1x128)

LCM = 83860589023232/128

LCM = 655160851744

Thus, we can understand that the LCM of 826,992,136,872,863 is 655160851744.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 826, 992, 136, 872, 863

1. What is the LCM of 826, 992, 136, 872, 863?

Answer: LCM of 826, 992, 136, 872, 863 is 655160851744.

2. How to calculate the LCM of 826, 992, 136, 872, 863?

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 826, 992, 136, 872, 863.

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}.