Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 494/719, 918/876 quickly i.e. 226746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 494/719, 918/876 is 226746.
LCM(494/719, 918/876) = 226746
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 494/719,918/876
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 494,918
Least Common Multiple of Numerators i.e. LCM of 494,918 is 226746.
GCF of Denominators means GCF of 719,876 as per the given fractions.
GCF of 719,876 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 494,918
2 | 494, 918 |
247, 459 |
∴ So the LCM of the given numbers is 2 x 247 x 459 = 226746
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 494,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,918) x common factors =2 x 1 = 2
LCM(494,918) = ( 494 × 918 ) / 2
LCM(494,918) = 453492 / 2
LCM(494,918) = 226746
Lets's calculate GCF of 719,876
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226746/1
Therefore the LCM of Fractions 494/719,918/876 is 226746
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 719,876 . The biggest common factor number is the GCF number.
So the greatest common factor 719,876 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 494/719, 918/876?
Answer: LCM of Numerators as per given numbers 494/719, 918/876 is
LCM of Numerators i.e. for 494,918 is 226746
GCF of denominators i.e. for 719,876 is 1.
Thus, LCM of Fractions is 226746.Finally, LCM of Fractions for 494/719, 918/876 is 226746.