Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/282, 941/958, 793/323 quickly i.e. 41041715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/282, 941/958, 793/323 is 41041715.
LCM(55/282, 941/958, 793/323) = 41041715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/282,941/958,793/323
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 55,941,793
Least Common Multiple of Numerators i.e. LCM of 55,941,793 is 41041715.
GCF of Denominators means GCF of 282,958,323 as per the given fractions.
GCF of 282,958,323 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,941,793
Given numbers has no common factors except 1. So, there LCM is their product i.e 41041715
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 55,941,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,941,793) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,941,793) x common factors =1 x 1 = 1
LCM(55,941,793) = ( 55 × 941 × 793 ) / 1
LCM(55,941,793) = 41041715 / 1
LCM(55,941,793) = 41041715
Lets's calculate GCF of 282,958,323
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41041715/1
Therefore the LCM of Fractions 55/282,941/958,793/323 is 41041715
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Greatest Common Factor
We found the factors 282,958,323 . The biggest common factor number is the GCF number.
So the greatest common factor 282,958,323 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 55/282, 941/958, 793/323?
Answer: LCM of Numerators as per given numbers 55/282, 941/958, 793/323 is
LCM of Numerators i.e. for 55,941,793 is 41041715
GCF of denominators i.e. for 282,958,323 is 1.
Thus, LCM of Fractions is 41041715.Finally, LCM of Fractions for 55/282, 941/958, 793/323 is 41041715.