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LCM of 114, 218, 969, 218

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


Find the LCM of 114, 218, 969, 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 114, 218, 969, 218. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 114,218,969,218

Given numbers are 114,218,969,218

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

The LCM of 114,218,969,218 is 211242.

Find LCM of 114,218,969,218 with Prime Factorization


2 114, 218, 969, 218
3 57, 109, 969, 109
19 19, 109, 323, 109
109 1, 109, 17, 109
1, 1, 17, 1

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

2 x 3 x 19 x 109 x 1 x 1 x 17 x 1 = 211242

Therefore, the lowest common multiple of 114,218,969,218 is 211242.

LCM Formula to Find Lowest Common Multiple of 114,218,969,218

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.

114 x 218 x 969 x 218 = 5249786184

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.

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

218 : 1, 2, 109, 218

969 : 1, 3, 17, 19, 51, 57, 323, 969

218 : 1, 2, 109, 218

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,218,969,218, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

218:2x 109

969:3x 17x 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 19x 109 = 24852

Therefore, the value for common factors is 24852.

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 = 5249786184/(1x24852)

LCM = 5249786184/24852

LCM = 211242

Thus, we can understand that the LCM of 114,218,969,218 is 211242.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 114, 218, 969, 218

1. What is the LCM of 114, 218, 969, 218?

Answer: LCM of 114, 218, 969, 218 is 211242.

2. How to calculate the LCM of 114, 218, 969, 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 114, 218, 969, 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}.