Least Common Multiple of 538/300, 1131/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 538/300, 1131/978 quickly i.e. 101413 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/300, 1131/978 is 101413.

LCM(538/300, 1131/978) = 101413

LCM of 538/300, 1131/978

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 538/300,1131/978

Given numbers are 538/300,1131/978

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 538,1131

Least Common Multiple of Numerators i.e. LCM of 538,1131 is 608478.

GCF of Denominators means GCF of 300,978 as per the given fractions.

GCF of 300,978 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,1131

LCM of Fractions 538/300,1131/978 is 101413

Given numbers has no common factors except 1. So, there LCM is their product i.e 608478

Least Common Multiple of 538,1131 with GCF Formula

Least Common Multiple of 538,1131 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 538,1131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,1131) = 1

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

GCF(538,1131) x common factors =1 x 1 = 1

LCM(538,1131) = ( 538 × 1131 ) / 1

LCM(538,1131) = 608478 / 1

LCM(538,1131) = 608478


Lets's calculate GCF of 300,978

2 300, 978
3 150, 489
50, 163

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 608478/6

Therefore the LCM of Fractions 538/300,1131/978 is 101413

Greatest Common Factor of 300,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,978 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 300,978 . The biggest common factor number is the GCF number.
So the greatest common factor 300,978 is 6.


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 538/300, 1131/978

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 538/300, 1131/978?

Answer: LCM of Numerators as per given numbers 538/300, 1131/978 is

LCM of Numerators i.e. for 538,1131 is 608478

GCF of denominators i.e. for 300,978 is 6.

Thus, LCM of Fractions is 101413.Finally, LCM of Fractions for 538/300, 1131/978 is 101413.