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LCM of 114, 364, 931

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


Find the LCM of 114, 364, 931 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, 364, 931. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 114,364,931

Given numbers are 114,364,931

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

The LCM of 114,364,931 is 145236.

Find LCM of 114,364,931 with Prime Factorization


2 114, 364, 931
7 57, 182, 931
19 57, 26, 133
3, 26, 7

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

2 x 7 x 19 x 3 x 26 x 7 = 145236

Therefore, the lowest common multiple of 114,364,931 is 145236.

LCM Formula to Find Lowest Common Multiple of 114,364,931

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 364 x 931 = 38632776

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

931 : 1, 7, 19, 49, 133, 931

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,364,931, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

364:2x 2x 7x 13

931:7x 7x 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 7x 19 = 266

Therefore, the value for common factors is 266.

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 = 38632776/(1x266)

LCM = 38632776/266

LCM = 145236

Thus, we can understand that the LCM of 114,364,931 is 145236.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 114, 364, 931

1. What is the LCM of 114, 364, 931?

Answer: LCM of 114, 364, 931 is 145236.

2. How to calculate the LCM of 114, 364, 931?

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, 364, 931.

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}.