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LCM of 235, 218, 115

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


Find the LCM of 235, 218, 115 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 235, 218, 115. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 235,218,115

Given numbers are 235,218,115

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

The LCM of 235,218,115 is 1178290.

Find LCM of 235,218,115 with Prime Factorization


5 235, 218, 115
47, 218, 23

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

5 x 47 x 218 x 23 = 1178290

Therefore, the lowest common multiple of 235,218,115 is 1178290.

LCM Formula to Find Lowest Common Multiple of 235,218,115

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.

235 x 218 x 115 = 5891450

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.

235 : 1, 5, 47, 235

218 : 1, 2, 109, 218

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,218,115, is 1.

Now, the common factors can be found like this.

235:5x 47

218:2x 109

115:5x 23

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

5 = 5

Therefore, the value for common factors is 5.

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 = 5891450/(1x5)

LCM = 5891450/5

LCM = 1178290

Thus, we can understand that the LCM of 235,218,115 is 1178290.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 235, 218, 115

1. What is the LCM of 235, 218, 115?

Answer: LCM of 235, 218, 115 is 1178290.

2. How to calculate the LCM of 235, 218, 115?

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 235, 218, 115.

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}.