Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 285/918, 9541/878 quickly i.e. 2719185/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 285/918, 9541/878 is 2719185/2.
LCM(285/918, 9541/878) = 2719185/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 285/918,9541/878
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 285,9541
Least Common Multiple of Numerators i.e. LCM of 285,9541 is 2719185.
GCF of Denominators means GCF of 918,878 as per the given fractions.
GCF of 918,878 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 285,9541
Given numbers has no common factors except 1. So, there LCM is their product i.e 2719185
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 285,9541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,9541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,9541) x common factors =1 x 1 = 1
LCM(285,9541) = ( 285 × 9541 ) / 1
LCM(285,9541) = 2719185 / 1
LCM(285,9541) = 2719185
Lets's calculate GCF of 918,878
2 | 918, 878 |
459, 439 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2719185/2
Therefore the LCM of Fractions 285/918,9541/878 is 2719185/2
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Greatest Common Factor
We found the factors 918,878 . The biggest common factor number is the GCF number.
So the greatest common factor 918,878 is 2.
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 285/918, 9541/878?
Answer: LCM of Numerators as per given numbers 285/918, 9541/878 is
LCM of Numerators i.e. for 285,9541 is 2719185
GCF of denominators i.e. for 918,878 is 2.
Thus, LCM of Fractions is 2719185/2.Finally, LCM of Fractions for 285/918, 9541/878 is 2719185/2.