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LCM of 310, 369, 351, 114, 218

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


Find the LCM of 310, 369, 351, 114, 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 310, 369, 351, 114, 218. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 310,369,351,114,218

Given numbers are 310,369,351,114,218

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

The LCM of 310,369,351,114,218 is 9239165910.

Find LCM of 310,369,351,114,218 with Prime Factorization


2 310, 369, 351, 114, 218
3 155, 369, 351, 57, 109
3 155, 123, 117, 19, 109
155, 41, 39, 19, 109

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

2 x 3 x 3 x 155 x 41 x 39 x 19 x 109 = 9239165910

Therefore, the lowest common multiple of 310,369,351,114,218 is 9239165910.

LCM Formula to Find Lowest Common Multiple of 310,369,351,114,218

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.

310 x 369 x 351 x 114 x 218 = 997829918280

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

369 : 1, 3, 9, 41, 123, 369

351 : 1, 3, 9, 13, 27, 39, 117, 351

114 : 1, 2, 3, 6, 19, 38, 57, 114

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,369,351,114,218, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

369:3x 3x 41

351:3x 3x 3x 13

114:2x 3x 19

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 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 997829918280/(1x108)

LCM = 997829918280/108

LCM = 9239165910

Thus, we can understand that the LCM of 310,369,351,114,218 is 9239165910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 310, 369, 351, 114, 218

1. What is the LCM of 310, 369, 351, 114, 218?

Answer: LCM of 310, 369, 351, 114, 218 is 9239165910.

2. How to calculate the LCM of 310, 369, 351, 114, 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 310, 369, 351, 114, 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}.