Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5652/248, 3305/7662 quickly i.e. 9339930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5652/248, 3305/7662 is 9339930.
LCM(5652/248, 3305/7662) = 9339930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5652/248,3305/7662
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 5652,3305
Least Common Multiple of Numerators i.e. LCM of 5652,3305 is 18679860.
GCF of Denominators means GCF of 248,7662 as per the given fractions.
GCF of 248,7662 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5652,3305
Given numbers has no common factors except 1. So, there LCM is their product i.e 18679860
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 5652,3305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5652,3305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5652,3305) x common factors =1 x 1 = 1
LCM(5652,3305) = ( 5652 × 3305 ) / 1
LCM(5652,3305) = 18679860 / 1
LCM(5652,3305) = 18679860
Lets's calculate GCF of 248,7662
2 | 248, 7662 |
124, 3831 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18679860/2
Therefore the LCM of Fractions 5652/248,3305/7662 is 9339930
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 7662
List of positive integer factors of 7662 that divides 7662 without a remainder.
1,2,3,6,1277,2554,3831,7662
Greatest Common Factor
We found the factors 248,7662 . The biggest common factor number is the GCF number.
So the greatest common factor 248,7662 is 2.
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 5652/248, 3305/7662?
Answer: LCM of Numerators as per given numbers 5652/248, 3305/7662 is
LCM of Numerators i.e. for 5652,3305 is 18679860
GCF of denominators i.e. for 248,7662 is 2.
Thus, LCM of Fractions is 9339930.Finally, LCM of Fractions for 5652/248, 3305/7662 is 9339930.