Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/941, 6045/7072 quickly i.e. 163215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/941, 6045/7072 is 163215.
LCM(81/941, 6045/7072) = 163215
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/941,6045/7072
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 81,6045
Least Common Multiple of Numerators i.e. LCM of 81,6045 is 163215.
GCF of Denominators means GCF of 941,7072 as per the given fractions.
GCF of 941,7072 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,6045
3 | 81, 6045 |
27, 2015 |
∴ So the LCM of the given numbers is 3 x 27 x 2015 = 163215
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 81,6045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,6045) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(81,6045) x common factors =3 x 1 = 3
LCM(81,6045) = ( 81 × 6045 ) / 3
LCM(81,6045) = 489645 / 3
LCM(81,6045) = 163215
Lets's calculate GCF of 941,7072
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163215/1
Therefore the LCM of Fractions 81/941,6045/7072 is 163215
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Factors of 7072
List of positive integer factors of 7072 that divides 7072 without a remainder.
1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Greatest Common Factor
We found the factors 941,7072 . The biggest common factor number is the GCF number.
So the greatest common factor 941,7072 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 81/941, 6045/7072?
Answer: LCM of Numerators as per given numbers 81/941, 6045/7072 is
LCM of Numerators i.e. for 81,6045 is 163215
GCF of denominators i.e. for 941,7072 is 1.
Thus, LCM of Fractions is 163215.Finally, LCM of Fractions for 81/941, 6045/7072 is 163215.