Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4232/907, 8781/7727 quickly i.e. 37161192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4232/907, 8781/7727 is 37161192.
LCM(4232/907, 8781/7727) = 37161192
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4232/907,8781/7727
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 4232,8781
Least Common Multiple of Numerators i.e. LCM of 4232,8781 is 37161192.
GCF of Denominators means GCF of 907,7727 as per the given fractions.
GCF of 907,7727 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4232,8781
Given numbers has no common factors except 1. So, there LCM is their product i.e 37161192
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 4232,8781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4232,8781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4232,8781) x common factors =1 x 1 = 1
LCM(4232,8781) = ( 4232 × 8781 ) / 1
LCM(4232,8781) = 37161192 / 1
LCM(4232,8781) = 37161192
Lets's calculate GCF of 907,7727
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37161192/1
Therefore the LCM of Fractions 4232/907,8781/7727 is 37161192
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Factors of 7727
List of positive integer factors of 7727 that divides 7727 without a remainder.
1,7727
Greatest Common Factor
We found the factors 907,7727 . The biggest common factor number is the GCF number.
So the greatest common factor 907,7727 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 4232/907, 8781/7727?
Answer: LCM of Numerators as per given numbers 4232/907, 8781/7727 is
LCM of Numerators i.e. for 4232,8781 is 37161192
GCF of denominators i.e. for 907,7727 is 1.
Thus, LCM of Fractions is 37161192.Finally, LCM of Fractions for 4232/907, 8781/7727 is 37161192.