Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/56, 8/21, 4/46, 97/171 quickly i.e. 2328 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, 8/21, 4/46, 97/171 is 2328.
LCM(3/56, 8/21, 4/46, 97/171) = 2328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/56,8/21,4/46,97/171
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 3,8,4,97
Least Common Multiple of Numerators i.e. LCM of 3,8,4,97 is 2328.
GCF of Denominators means GCF of 56,21,46,171 as per the given fractions.
GCF of 56,21,46,171 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,8,4,97
2 | 3, 8, 4, 97 |
2 | 3, 4, 2, 97 |
3, 1, 2, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 2 x 97 = 2328
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 3,8,4,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,8,4,97) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(3,8,4,97) x common factors =1 x 4 = 4
LCM(3,8,4,97) = ( 3 × 8 × 4 × 97 ) / 4
LCM(3,8,4,97) = 9312 / 4
LCM(3,8,4,97) = 2328
Lets's calculate GCF of 56,21,46,171
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2328/1
Therefore the LCM of Fractions 3/56,8/21,4/46,97/171 is 2328
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 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Greatest Common Factor
We found the factors 56,21,46,171 . The biggest common factor number is the GCF number.
So the greatest common factor 56,21,46,171 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, 8/21, 4/46, 97/171?
Answer: LCM of Numerators as per given numbers 3/56, 8/21, 4/46, 97/171 is
LCM of Numerators i.e. for 3,8,4,97 is 2328
GCF of denominators i.e. for 56,21,46,171 is 1.
Thus, LCM of Fractions is 2328.Finally, LCM of Fractions for 3/56, 8/21, 4/46, 97/171 is 2328.