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LCM of 821, 891, 180, 168

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


Find the LCM of 821, 891, 180, 168 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 821, 891, 180, 168. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,891,180,168

Given numbers are 821,891,180,168

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

The LCM of 821,891,180,168 is 204823080.

Find LCM of 821,891,180,168 with Prime Factorization


2 821, 891, 180, 168
2 821, 891, 90, 84
3 821, 891, 45, 42
3 821, 297, 15, 14
821, 99, 5, 14

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

2 x 2 x 3 x 3 x 821 x 99 x 5 x 14 = 204823080

Therefore, the lowest common multiple of 821,891,180,168 is 204823080.

LCM Formula to Find Lowest Common Multiple of 821,891,180,168

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.

821 x 891 x 180 x 168 = 22120892640

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.

821 : 1, 821

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,891,180,168, is 1.

Now, the common factors can be found like this.

821:821

891:3x 3x 3x 3x 11

180:2x 2x 3x 3x 5

168:2x 2x 2x 3x 7

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 = 22120892640/(1x108)

LCM = 22120892640/108

LCM = 204823080

Thus, we can understand that the LCM of 821,891,180,168 is 204823080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 891, 180, 168

1. What is the LCM of 821, 891, 180, 168?

Answer: LCM of 821, 891, 180, 168 is 204823080.

2. How to calculate the LCM of 821, 891, 180, 168?

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 821, 891, 180, 168.

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}.