Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 135/40, 482/33, 123/167 quickly i.e. 2667870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 135/40, 482/33, 123/167 is 2667870.
LCM(135/40, 482/33, 123/167) = 2667870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 135/40,482/33,123/167
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 135,482,123
Least Common Multiple of Numerators i.e. LCM of 135,482,123 is 2667870.
GCF of Denominators means GCF of 40,33,167 as per the given fractions.
GCF of 40,33,167 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 135,482,123
3 | 135, 482, 123 |
45, 482, 41 |
∴ So the LCM of the given numbers is 3 x 45 x 482 x 41 = 2667870
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 135,482,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,482,123) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(135,482,123) x common factors =1 x 3 = 3
LCM(135,482,123) = ( 135 × 482 × 123 ) / 3
LCM(135,482,123) = 8003610 / 3
LCM(135,482,123) = 2667870
Lets's calculate GCF of 40,33,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2667870/1
Therefore the LCM of Fractions 135/40,482/33,123/167 is 2667870
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Greatest Common Factor
We found the factors 40,33,167 . The biggest common factor number is the GCF number.
So the greatest common factor 40,33,167 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 135/40, 482/33, 123/167?
Answer: LCM of Numerators as per given numbers 135/40, 482/33, 123/167 is
LCM of Numerators i.e. for 135,482,123 is 2667870
GCF of denominators i.e. for 40,33,167 is 1.
Thus, LCM of Fractions is 2667870.Finally, LCM of Fractions for 135/40, 482/33, 123/167 is 2667870.