Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 954/893, 161/456 quickly i.e. 153594/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 954/893, 161/456 is 153594/19.
LCM(954/893, 161/456) = 153594/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 954/893,161/456
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 954,161
Least Common Multiple of Numerators i.e. LCM of 954,161 is 153594.
GCF of Denominators means GCF of 893,456 as per the given fractions.
GCF of 893,456 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 954,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 153594
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 954,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(954,161) x common factors =1 x 1 = 1
LCM(954,161) = ( 954 × 161 ) / 1
LCM(954,161) = 153594 / 1
LCM(954,161) = 153594
Lets's calculate GCF of 893,456
19 | 893, 456 |
47, 24 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153594/19
Therefore the LCM of Fractions 954/893,161/456 is 153594/19
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 893,456 . The biggest common factor number is the GCF number.
So the greatest common factor 893,456 is 19.
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 954/893, 161/456?
Answer: LCM of Numerators as per given numbers 954/893, 161/456 is
LCM of Numerators i.e. for 954,161 is 153594
GCF of denominators i.e. for 893,456 is 19.
Thus, LCM of Fractions is 153594/19.Finally, LCM of Fractions for 954/893, 161/456 is 153594/19.