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LCM of 218, 774, 815

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


Find the LCM of 218, 774, 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 218, 774, 815. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,774,815

Given numbers are 218,774,815

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

The LCM of 218,774,815 is 68758290.

Find LCM of 218,774,815 with Prime Factorization


2 218, 774, 815
109, 387, 815

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

2 x 109 x 387 x 815 = 68758290

Therefore, the lowest common multiple of 218,774,815 is 68758290.

LCM Formula to Find Lowest Common Multiple of 218,774,815

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.

218 x 774 x 815 = 137516580

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.

218 : 1, 2, 109, 218

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

815 : 1, 5, 163, 815

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,774,815, is 1.

Now, the common factors can be found like this.

218:2x 109

774:2x 3x 3x 43

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 137516580/(1x2)

LCM = 137516580/2

LCM = 68758290

Thus, we can understand that the LCM of 218,774,815 is 68758290.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 218, 774, 815

1. What is the LCM of 218, 774, 815?

Answer: LCM of 218, 774, 815 is 68758290.

2. How to calculate the LCM of 218, 774, 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 218, 774, 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}.