Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 246/40, 941/7270 quickly i.e. 231486/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 246/40, 941/7270 is 231486/10.
LCM(246/40, 941/7270) = 231486/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 246/40,941/7270
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 246,941
Least Common Multiple of Numerators i.e. LCM of 246,941 is 231486.
GCF of Denominators means GCF of 40,7270 as per the given fractions.
GCF of 40,7270 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 246,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 231486
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 246,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(246,941) x common factors =1 x 1 = 1
LCM(246,941) = ( 246 × 941 ) / 1
LCM(246,941) = 231486 / 1
LCM(246,941) = 231486
Lets's calculate GCF of 40,7270
2 | 40, 7270 |
5 | 20, 3635 |
4, 727 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231486/10
Therefore the LCM of Fractions 246/40,941/7270 is 231486/10
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 7270
List of positive integer factors of 7270 that divides 7270 without a remainder.
1,2,5,10,727,1454,3635,7270
Greatest Common Factor
We found the factors 40,7270 . The biggest common factor number is the GCF number.
So the greatest common factor 40,7270 is 10.
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 246/40, 941/7270?
Answer: LCM of Numerators as per given numbers 246/40, 941/7270 is
LCM of Numerators i.e. for 246,941 is 231486
GCF of denominators i.e. for 40,7270 is 10.
Thus, LCM of Fractions is 231486/10.Finally, LCM of Fractions for 246/40, 941/7270 is 231486/10.