Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/27, 629/45, 118/372 quickly i.e. 7199534/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/27, 629/45, 118/372 is 7199534/3.
LCM(97/27, 629/45, 118/372) = 7199534/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/27,629/45,118/372
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 97,629,118
Least Common Multiple of Numerators i.e. LCM of 97,629,118 is 7199534.
GCF of Denominators means GCF of 27,45,372 as per the given fractions.
GCF of 27,45,372 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,629,118
Given numbers has no common factors except 1. So, there LCM is their product i.e 7199534
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 97,629,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,629,118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,629,118) x common factors =1 x 1 = 1
LCM(97,629,118) = ( 97 × 629 × 118 ) / 1
LCM(97,629,118) = 7199534 / 1
LCM(97,629,118) = 7199534
Lets's calculate GCF of 27,45,372
3 | 27, 45, 372 |
9, 15, 124 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7199534/3
Therefore the LCM of Fractions 97/27,629/45,118/372 is 7199534/3
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 27,45,372 . The biggest common factor number is the GCF number.
So the greatest common factor 27,45,372 is 3.
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 97/27, 629/45, 118/372?
Answer: LCM of Numerators as per given numbers 97/27, 629/45, 118/372 is
LCM of Numerators i.e. for 97,629,118 is 7199534
GCF of denominators i.e. for 27,45,372 is 3.
Thus, LCM of Fractions is 7199534/3.Finally, LCM of Fractions for 97/27, 629/45, 118/372 is 7199534/3.