Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/719, 4075/4694 quickly i.e. 44825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/719, 4075/4694 is 44825.
LCM(55/719, 4075/4694) = 44825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/719,4075/4694
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 55,4075
Least Common Multiple of Numerators i.e. LCM of 55,4075 is 44825.
GCF of Denominators means GCF of 719,4694 as per the given fractions.
GCF of 719,4694 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,4075
5 | 55, 4075 |
11, 815 |
∴ So the LCM of the given numbers is 5 x 11 x 815 = 44825
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 55,4075 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,4075) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(55,4075) x common factors =5 x 1 = 5
LCM(55,4075) = ( 55 × 4075 ) / 5
LCM(55,4075) = 224125 / 5
LCM(55,4075) = 44825
Lets's calculate GCF of 719,4694
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44825/1
Therefore the LCM of Fractions 55/719,4075/4694 is 44825
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 4694
List of positive integer factors of 4694 that divides 4694 without a remainder.
1,2,2347,4694
Greatest Common Factor
We found the factors 719,4694 . The biggest common factor number is the GCF number.
So the greatest common factor 719,4694 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 55/719, 4075/4694?
Answer: LCM of Numerators as per given numbers 55/719, 4075/4694 is
LCM of Numerators i.e. for 55,4075 is 44825
GCF of denominators i.e. for 719,4694 is 1.
Thus, LCM of Fractions is 44825.Finally, LCM of Fractions for 55/719, 4075/4694 is 44825.