Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/158, 96/305, 380/174 quickly i.e. 27360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/158, 96/305, 380/174 is 27360.
LCM(36/158, 96/305, 380/174) = 27360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/158,96/305,380/174
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 36,96,380
Least Common Multiple of Numerators i.e. LCM of 36,96,380 is 27360.
GCF of Denominators means GCF of 158,305,174 as per the given fractions.
GCF of 158,305,174 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,96,380
2 | 36, 96, 380 |
2 | 18, 48, 190 |
3 | 9, 24, 95 |
3, 8, 95 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 8 x 95 = 27360
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 36,96,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,96,380) = 4
common factors(in case of two or more numbers have common factors) = 12
GCF(36,96,380) x common factors =4 x 12 = 48
LCM(36,96,380) = ( 36 × 96 × 380 ) / 48
LCM(36,96,380) = 1313280 / 48
LCM(36,96,380) = 27360
Lets's calculate GCF of 158,305,174
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27360/1
Therefore the LCM of Fractions 36/158,96/305,380/174 is 27360
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 158,305,174 . The biggest common factor number is the GCF number.
So the greatest common factor 158,305,174 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 36/158, 96/305, 380/174?
Answer: LCM of Numerators as per given numbers 36/158, 96/305, 380/174 is
LCM of Numerators i.e. for 36,96,380 is 27360
GCF of denominators i.e. for 158,305,174 is 1.
Thus, LCM of Fractions is 27360.Finally, LCM of Fractions for 36/158, 96/305, 380/174 is 27360.