Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/160, 94/169, 177/212 quickly i.e. 232932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/160, 94/169, 177/212 is 232932.
LCM(28/160, 94/169, 177/212) = 232932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/160,94/169,177/212
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 28,94,177
Least Common Multiple of Numerators i.e. LCM of 28,94,177 is 232932.
GCF of Denominators means GCF of 160,169,212 as per the given fractions.
GCF of 160,169,212 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,94,177
2 | 28, 94, 177 |
14, 47, 177 |
∴ So the LCM of the given numbers is 2 x 14 x 47 x 177 = 232932
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 28,94,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,94,177) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(28,94,177) x common factors =1 x 2 = 2
LCM(28,94,177) = ( 28 × 94 × 177 ) / 2
LCM(28,94,177) = 465864 / 2
LCM(28,94,177) = 232932
Lets's calculate GCF of 160,169,212
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232932/1
Therefore the LCM of Fractions 28/160,94/169,177/212 is 232932
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Greatest Common Factor
We found the factors 160,169,212 . The biggest common factor number is the GCF number.
So the greatest common factor 160,169,212 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 28/160, 94/169, 177/212?
Answer: LCM of Numerators as per given numbers 28/160, 94/169, 177/212 is
LCM of Numerators i.e. for 28,94,177 is 232932
GCF of denominators i.e. for 160,169,212 is 1.
Thus, LCM of Fractions is 232932.Finally, LCM of Fractions for 28/160, 94/169, 177/212 is 232932.