Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7360/121, 7377/3376 quickly i.e. 54294720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7360/121, 7377/3376 is 54294720.
LCM(7360/121, 7377/3376) = 54294720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7360/121,7377/3376
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 7360,7377
Least Common Multiple of Numerators i.e. LCM of 7360,7377 is 54294720.
GCF of Denominators means GCF of 121,3376 as per the given fractions.
GCF of 121,3376 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7360,7377
Given numbers has no common factors except 1. So, there LCM is their product i.e 54294720
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 7360,7377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7360,7377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7360,7377) x common factors =1 x 1 = 1
LCM(7360,7377) = ( 7360 × 7377 ) / 1
LCM(7360,7377) = 54294720 / 1
LCM(7360,7377) = 54294720
Lets's calculate GCF of 121,3376
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54294720/1
Therefore the LCM of Fractions 7360/121,7377/3376 is 54294720
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 3376
List of positive integer factors of 3376 that divides 3376 without a remainder.
1,2,4,8,16,211,422,844,1688,3376
Greatest Common Factor
We found the factors 121,3376 . The biggest common factor number is the GCF number.
So the greatest common factor 121,3376 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 7360/121, 7377/3376?
Answer: LCM of Numerators as per given numbers 7360/121, 7377/3376 is
LCM of Numerators i.e. for 7360,7377 is 54294720
GCF of denominators i.e. for 121,3376 is 1.
Thus, LCM of Fractions is 54294720.Finally, LCM of Fractions for 7360/121, 7377/3376 is 54294720.