Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/56, 7/95, 81/36, 73/935 quickly i.e. 41391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/56, 7/95, 81/36, 73/935 is 41391.
LCM(3/56, 7/95, 81/36, 73/935) = 41391
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/56,7/95,81/36,73/935
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 3,7,81,73
Least Common Multiple of Numerators i.e. LCM of 3,7,81,73 is 41391.
GCF of Denominators means GCF of 56,95,36,935 as per the given fractions.
GCF of 56,95,36,935 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,7,81,73
3 | 3, 7, 81, 73 |
1, 7, 27, 73 |
∴ So the LCM of the given numbers is 3 x 1 x 7 x 27 x 73 = 41391
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 3,7,81,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,7,81,73) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(3,7,81,73) x common factors =1 x 3 = 3
LCM(3,7,81,73) = ( 3 × 7 × 81 × 73 ) / 3
LCM(3,7,81,73) = 124173 / 3
LCM(3,7,81,73) = 41391
Lets's calculate GCF of 56,95,36,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41391/1
Therefore the LCM of Fractions 3/56,7/95,81/36,73/935 is 41391
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
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 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 56,95,36,935 . The biggest common factor number is the GCF number.
So the greatest common factor 56,95,36,935 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 3/56, 7/95, 81/36, 73/935?
Answer: LCM of Numerators as per given numbers 3/56, 7/95, 81/36, 73/935 is
LCM of Numerators i.e. for 3,7,81,73 is 41391
GCF of denominators i.e. for 56,95,36,935 is 1.
Thus, LCM of Fractions is 41391.Finally, LCM of Fractions for 3/56, 7/95, 81/36, 73/935 is 41391.