Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 121/60, 753/52, 980/962 quickly i.e. 44645370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 121/60, 753/52, 980/962 is 44645370.
LCM(121/60, 753/52, 980/962) = 44645370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 121/60,753/52,980/962
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 121,753,980
Least Common Multiple of Numerators i.e. LCM of 121,753,980 is 89290740.
GCF of Denominators means GCF of 60,52,962 as per the given fractions.
GCF of 60,52,962 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 121,753,980
Given numbers has no common factors except 1. So, there LCM is their product i.e 89290740
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 121,753,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,753,980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,753,980) x common factors =1 x 1 = 1
LCM(121,753,980) = ( 121 × 753 × 980 ) / 1
LCM(121,753,980) = 89290740 / 1
LCM(121,753,980) = 89290740
Lets's calculate GCF of 60,52,962
2 | 60, 52, 962 |
30, 26, 481 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89290740/2
Therefore the LCM of Fractions 121/60,753/52,980/962 is 44645370
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Greatest Common Factor
We found the factors 60,52,962 . The biggest common factor number is the GCF number.
So the greatest common factor 60,52,962 is 2.
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 121/60, 753/52, 980/962?
Answer: LCM of Numerators as per given numbers 121/60, 753/52, 980/962 is
LCM of Numerators i.e. for 121,753,980 is 89290740
GCF of denominators i.e. for 60,52,962 is 2.
Thus, LCM of Fractions is 44645370.Finally, LCM of Fractions for 121/60, 753/52, 980/962 is 44645370.