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LCM of 231, 738, 580, 981, 114

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


Find the LCM of 231, 738, 580, 981, 114 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 231, 738, 580, 981, 114. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 231,738,580,981,114

Given numbers are 231,738,580,981,114

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

The LCM of 231,738,580,981,114 is 34129127340.

Find LCM of 231,738,580,981,114 with Prime Factorization


2 231, 738, 580, 981, 114
3 231, 369, 290, 981, 57
3 77, 123, 290, 327, 19
77, 41, 290, 109, 19

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

2 x 3 x 3 x 77 x 41 x 290 x 109 x 19 = 34129127340

Therefore, the lowest common multiple of 231,738,580,981,114 is 34129127340.

LCM Formula to Find Lowest Common Multiple of 231,738,580,981,114

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.

231 x 738 x 580 x 981 x 114 = 11057837258160

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

981 : 1, 3, 9, 109, 327, 981

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,738,580,981,114, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

738:2x 3x 3x 41

580:2x 2x 5x 29

981:3x 3x 109

114:2x 3x 19

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 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 11057837258160/(1x324)

LCM = 11057837258160/324

LCM = 34129127340

Thus, we can understand that the LCM of 231,738,580,981,114 is 34129127340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 231, 738, 580, 981, 114

1. What is the LCM of 231, 738, 580, 981, 114?

Answer: LCM of 231, 738, 580, 981, 114 is 34129127340.

2. How to calculate the LCM of 231, 738, 580, 981, 114?

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 231, 738, 580, 981, 114.

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}.