Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/120, 3722/7319 quickly i.e. 271706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/120, 3722/7319 is 271706.
LCM(73/120, 3722/7319) = 271706
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/120,3722/7319
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 73,3722
Least Common Multiple of Numerators i.e. LCM of 73,3722 is 271706.
GCF of Denominators means GCF of 120,7319 as per the given fractions.
GCF of 120,7319 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,3722
Given numbers has no common factors except 1. So, there LCM is their product i.e 271706
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 73,3722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,3722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,3722) x common factors =1 x 1 = 1
LCM(73,3722) = ( 73 × 3722 ) / 1
LCM(73,3722) = 271706 / 1
LCM(73,3722) = 271706
Lets's calculate GCF of 120,7319
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271706/1
Therefore the LCM of Fractions 73/120,3722/7319 is 271706
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 7319
List of positive integer factors of 7319 that divides 7319 without a remainder.
1,13,563,7319
Greatest Common Factor
We found the factors 120,7319 . The biggest common factor number is the GCF number.
So the greatest common factor 120,7319 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 73/120, 3722/7319?
Answer: LCM of Numerators as per given numbers 73/120, 3722/7319 is
LCM of Numerators i.e. for 73,3722 is 271706
GCF of denominators i.e. for 120,7319 is 1.
Thus, LCM of Fractions is 271706.Finally, LCM of Fractions for 73/120, 3722/7319 is 271706.