Least Common Multiple of 103/338, 1284/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 103/338, 1284/712 quickly i.e. 66126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/338, 1284/712 is 66126.

LCM(103/338, 1284/712) = 66126

LCM of 103/338, 1284/712

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 103/338,1284/712

Given numbers are 103/338,1284/712

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 103,1284

Least Common Multiple of Numerators i.e. LCM of 103,1284 is 132252.

GCF of Denominators means GCF of 338,712 as per the given fractions.

GCF of 338,712 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,1284

LCM of Fractions 103/338,1284/712 is 66126

Given numbers has no common factors except 1. So, there LCM is their product i.e 132252

Least Common Multiple of 103,1284 with GCF Formula

Least Common Multiple of 103,1284 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 103,1284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,1284) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(103,1284) x common factors =1 x 1 = 1

LCM(103,1284) = ( 103 × 1284 ) / 1

LCM(103,1284) = 132252 / 1

LCM(103,1284) = 132252


Lets's calculate GCF of 338,712

2 338, 712
169, 356

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132252/2

Therefore the LCM of Fractions 103/338,1284/712 is 66126

Greatest Common Factor of 338,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,712 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 338,712 . The biggest common factor number is the GCF number.
So the greatest common factor 338,712 is 2.


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 103/338, 1284/712

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 103/338, 1284/712?

Answer: LCM of Numerators as per given numbers 103/338, 1284/712 is

LCM of Numerators i.e. for 103,1284 is 132252

GCF of denominators i.e. for 338,712 is 2.

Thus, LCM of Fractions is 66126.Finally, LCM of Fractions for 103/338, 1284/712 is 66126.