Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 476/36, 263/957 quickly i.e. 125188/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 476/36, 263/957 is 125188/3.
LCM(476/36, 263/957) = 125188/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 476/36,263/957
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 476,263
Least Common Multiple of Numerators i.e. LCM of 476,263 is 125188.
GCF of Denominators means GCF of 36,957 as per the given fractions.
GCF of 36,957 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 476,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 125188
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 476,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(476,263) x common factors =1 x 1 = 1
LCM(476,263) = ( 476 × 263 ) / 1
LCM(476,263) = 125188 / 1
LCM(476,263) = 125188
Lets's calculate GCF of 36,957
3 | 36, 957 |
12, 319 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125188/3
Therefore the LCM of Fractions 476/36,263/957 is 125188/3
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 36,957 . The biggest common factor number is the GCF number.
So the greatest common factor 36,957 is 3.
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 476/36, 263/957?
Answer: LCM of Numerators as per given numbers 476/36, 263/957 is
LCM of Numerators i.e. for 476,263 is 125188
GCF of denominators i.e. for 36,957 is 3.
Thus, LCM of Fractions is 125188/3.Finally, LCM of Fractions for 476/36, 263/957 is 125188/3.