Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 103/47, 809/62, 489/88 quickly i.e. 40746903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 103/47, 809/62, 489/88 is 40746903.
LCM(103/47, 809/62, 489/88) = 40746903
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 103/47,809/62,489/88
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 103,809,489
Least Common Multiple of Numerators i.e. LCM of 103,809,489 is 40746903.
GCF of Denominators means GCF of 47,62,88 as per the given fractions.
GCF of 47,62,88 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 103,809,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 40746903
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 103,809,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,809,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,809,489) x common factors =1 x 1 = 1
LCM(103,809,489) = ( 103 × 809 × 489 ) / 1
LCM(103,809,489) = 40746903 / 1
LCM(103,809,489) = 40746903
Lets's calculate GCF of 47,62,88
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40746903/1
Therefore the LCM of Fractions 103/47,809/62,489/88 is 40746903
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Greatest Common Factor
We found the factors 47,62,88 . The biggest common factor number is the GCF number.
So the greatest common factor 47,62,88 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 103/47, 809/62, 489/88?
Answer: LCM of Numerators as per given numbers 103/47, 809/62, 489/88 is
LCM of Numerators i.e. for 103,809,489 is 40746903
GCF of denominators i.e. for 47,62,88 is 1.
Thus, LCM of Fractions is 40746903.Finally, LCM of Fractions for 103/47, 809/62, 489/88 is 40746903.