Least Common Multiple of 114/612, 883/312, 692/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/612, 883/312, 692/339 quickly i.e. 11609684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/612, 883/312, 692/339 is 11609684.

LCM(114/612, 883/312, 692/339) = 11609684

LCM of 114/612, 883/312, 692/339

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 114/612,883/312,692/339

Given numbers are 114/612,883/312,692/339

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 114,883,692

Least Common Multiple of Numerators i.e. LCM of 114,883,692 is 34829052.

GCF of Denominators means GCF of 612,312,339 as per the given fractions.

GCF of 612,312,339 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,883,692

LCM of Fractions 114/612,883/312,692/339 is 11609684

2 114, 883, 692
57, 883, 346

∴ So the LCM of the given numbers is 2 x 57 x 883 x 346 = 34829052

Least Common Multiple of 114,883,692 with GCF Formula

Least Common Multiple of 114,883,692 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 114,883,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,883,692) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(114,883,692) x common factors =1 x 2 = 2

LCM(114,883,692) = ( 114 × 883 × 692 ) / 2

LCM(114,883,692) = 69658104 / 2

LCM(114,883,692) = 34829052


Lets's calculate GCF of 612,312,339

3 612, 312, 339
204, 104, 113

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34829052/3

Therefore the LCM of Fractions 114/612,883/312,692/339 is 11609684

Greatest Common Factor of 612,312,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,312,339 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 612,312,339 . The biggest common factor number is the GCF number.
So the greatest common factor 612,312,339 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 114/612, 883/312, 692/339

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 114/612, 883/312, 692/339?

Answer: LCM of Numerators as per given numbers 114/612, 883/312, 692/339 is

LCM of Numerators i.e. for 114,883,692 is 34829052

GCF of denominators i.e. for 612,312,339 is 3.

Thus, LCM of Fractions is 11609684.Finally, LCM of Fractions for 114/612, 883/312, 692/339 is 11609684.