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LCM of 862, 822, 672, 939, 831

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


Find the LCM of 862, 822, 672, 939, 831 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 862, 822, 672, 939, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 862,822,672,939,831

Given numbers are 862,822,672,939,831

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

The LCM of 862,822,672,939,831 is 3440259612384.

Find LCM of 862,822,672,939,831 with Prime Factorization


2 862, 822, 672, 939, 831
3 431, 411, 336, 939, 831
431, 137, 112, 313, 277

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

2 x 3 x 431 x 137 x 112 x 313 x 277 = 3440259612384

Therefore, the lowest common multiple of 862,822,672,939,831 is 3440259612384.

LCM Formula to Find Lowest Common Multiple of 862,822,672,939,831

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.

862 x 822 x 672 x 939 x 831 = 371548038137472

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.

862 : 1, 2, 431, 862

822 : 1, 2, 3, 6, 137, 274, 411, 822

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

939 : 1, 3, 313, 939

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,822,672,939,831, is 1.

Now, the common factors can be found like this.

862:2x 431

822:2x 3x 137

672:2x 2x 2x 2x 2x 3x 7

939:3x 313

831:3x 277

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 371548038137472/(1x108)

LCM = 371548038137472/108

LCM = 3440259612384

Thus, we can understand that the LCM of 862,822,672,939,831 is 3440259612384.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 862, 822, 672, 939, 831

1. What is the LCM of 862, 822, 672, 939, 831?

Answer: LCM of 862, 822, 672, 939, 831 is 3440259612384.

2. How to calculate the LCM of 862, 822, 672, 939, 831?

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 862, 822, 672, 939, 831.

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}.