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LCM of 867, 361, 249, 916

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


Find the LCM of 867, 361, 249, 916 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 867, 361, 249, 916. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,361,249,916

Given numbers are 867,361,249,916

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

The LCM of 867,361,249,916 is 23795775636.

Find LCM of 867,361,249,916 with Prime Factorization


3 867, 361, 249, 916
289, 361, 83, 916

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

3 x 289 x 361 x 83 x 916 = 23795775636

Therefore, the lowest common multiple of 867,361,249,916 is 23795775636.

LCM Formula to Find Lowest Common Multiple of 867,361,249,916

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.

867 x 361 x 249 x 916 = 71387326908

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.

867 : 1, 3, 17, 51, 289, 867

361 : 1, 19, 361

249 : 1, 3, 83, 249

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,361,249,916, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

361:19x 19

249:3x 83

916:2x 2x 229

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 71387326908/(1x3)

LCM = 71387326908/3

LCM = 23795775636

Thus, we can understand that the LCM of 867,361,249,916 is 23795775636.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 867, 361, 249, 916

1. What is the LCM of 867, 361, 249, 916?

Answer: LCM of 867, 361, 249, 916 is 23795775636.

2. How to calculate the LCM of 867, 361, 249, 916?

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 867, 361, 249, 916.

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}.