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LCM of 114, 226, 969, 753

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


Find the LCM of 114, 226, 969, 753 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, 226, 969, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 114,226,969,753

Given numbers are 114,226,969,753

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

The LCM of 114,226,969,753 is 54967494.

Find LCM of 114,226,969,753 with Prime Factorization


2 114, 226, 969, 753
3 57, 113, 969, 753
19 19, 113, 323, 251
1, 113, 17, 251

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

2 x 3 x 19 x 1 x 113 x 17 x 251 = 54967494

Therefore, the lowest common multiple of 114,226,969,753 is 54967494.

LCM Formula to Find Lowest Common Multiple of 114,226,969,753

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 226 x 969 x 753 = 18798882948

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

226 : 1, 2, 113, 226

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

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,226,969,753, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

226:2x 113

969:3x 17x 19

753:3x 251

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

2x 3x 3x 19 = 342

Therefore, the value for common factors is 342.

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 = 18798882948/(1x342)

LCM = 18798882948/342

LCM = 54967494

Thus, we can understand that the LCM of 114,226,969,753 is 54967494.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 114, 226, 969, 753

1. What is the LCM of 114, 226, 969, 753?

Answer: LCM of 114, 226, 969, 753 is 54967494.

2. How to calculate the LCM of 114, 226, 969, 753?

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, 226, 969, 753.

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}.