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LCM of 118, 545, 218

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


Find the LCM of 118, 545, 218 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 118, 545, 218. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 118,545,218

Given numbers are 118,545,218

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

The LCM of 118,545,218 is 64310.

Find LCM of 118,545,218 with Prime Factorization


2 118, 545, 218
109 59, 545, 109
59, 5, 1

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

2 x 109 x 59 x 5 x 1 = 64310

Therefore, the lowest common multiple of 118,545,218 is 64310.

LCM Formula to Find Lowest Common Multiple of 118,545,218

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.

118 x 545 x 218 = 14019580

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.

118 : 1, 2, 59, 118

545 : 1, 5, 109, 545

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,545,218, is 1.

Now, the common factors can be found like this.

118:2x 59

545:5x 109

218:2x 109

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

2x 109 = 218

Therefore, the value for common factors is 218.

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 = 14019580/(1x218)

LCM = 14019580/218

LCM = 64310

Thus, we can understand that the LCM of 118,545,218 is 64310.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 118, 545, 218

1. What is the LCM of 118, 545, 218?

Answer: LCM of 118, 545, 218 is 64310.

2. How to calculate the LCM of 118, 545, 218?

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 118, 545, 218.

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}.