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LCM of 867, 163, 815

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


Find the LCM of 867, 163, 815 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, 163, 815. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 867,163,815

Given numbers are 867,163,815

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

The LCM of 867,163,815 is 706605.

Find LCM of 867,163,815 with Prime Factorization


163 867, 163, 815
867, 1, 5

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

163 x 867 x 1 x 5 = 706605

Therefore, the lowest common multiple of 867,163,815 is 706605.

LCM Formula to Find Lowest Common Multiple of 867,163,815

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 163 x 815 = 115176615

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

163 : 1, 163

815 : 1, 5, 163, 815

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,163,815, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

163:163

815:5x 163

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

163 = 163

Therefore, the value for common factors is 163.

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 = 115176615/(1x163)

LCM = 115176615/163

LCM = 706605

Thus, we can understand that the LCM of 867,163,815 is 706605.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 867, 163, 815

1. What is the LCM of 867, 163, 815?

Answer: LCM of 867, 163, 815 is 706605.

2. How to calculate the LCM of 867, 163, 815?

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, 163, 815.

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}.