Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 152/2, 25/97 quickly i.e. 3800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 152/2, 25/97 is 3800.
LCM(152/2, 25/97) = 3800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 152/2,25/97
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 152,25
Least Common Multiple of Numerators i.e. LCM of 152,25 is 3800.
GCF of Denominators means GCF of 2,97 as per the given fractions.
GCF of 2,97 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 152,25
Given numbers has no common factors except 1. So, there LCM is their product i.e 3800
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 152,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,25) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(152,25) x common factors =1 x 1 = 1
LCM(152,25) = ( 152 × 25 ) / 1
LCM(152,25) = 3800 / 1
LCM(152,25) = 3800
Lets's calculate GCF of 2,97
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3800/1
Therefore the LCM of Fractions 152/2,25/97 is 3800
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Greatest Common Factor
We found the factors 2,97 . The biggest common factor number is the GCF number.
So the greatest common factor 2,97 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 152/2, 25/97?
Answer: LCM of Numerators as per given numbers 152/2, 25/97 is
LCM of Numerators i.e. for 152,25 is 3800
GCF of denominators i.e. for 2,97 is 1.
Thus, LCM of Fractions is 3800.Finally, LCM of Fractions for 152/2, 25/97 is 3800.