Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/92, 31/15, 148/962 quickly i.e. 206460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/92, 31/15, 148/962 is 206460.
LCM(45/92, 31/15, 148/962) = 206460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/92,31/15,148/962
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 45,31,148
Least Common Multiple of Numerators i.e. LCM of 45,31,148 is 206460.
GCF of Denominators means GCF of 92,15,962 as per the given fractions.
GCF of 92,15,962 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,31,148
Given numbers has no common factors except 1. So, there LCM is their product i.e 206460
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 45,31,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,31,148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,31,148) x common factors =1 x 1 = 1
LCM(45,31,148) = ( 45 × 31 × 148 ) / 1
LCM(45,31,148) = 206460 / 1
LCM(45,31,148) = 206460
Lets's calculate GCF of 92,15,962
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206460/1
Therefore the LCM of Fractions 45/92,31/15,148/962 is 206460
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
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 92,15,962 . The biggest common factor number is the GCF number.
So the greatest common factor 92,15,962 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 45/92, 31/15, 148/962?
Answer: LCM of Numerators as per given numbers 45/92, 31/15, 148/962 is
LCM of Numerators i.e. for 45,31,148 is 206460
GCF of denominators i.e. for 92,15,962 is 1.
Thus, LCM of Fractions is 206460.Finally, LCM of Fractions for 45/92, 31/15, 148/962 is 206460.