Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 153/67, 256/3702 quickly i.e. 39168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 153/67, 256/3702 is 39168.
LCM(153/67, 256/3702) = 39168
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 153/67,256/3702
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 153,256
Least Common Multiple of Numerators i.e. LCM of 153,256 is 39168.
GCF of Denominators means GCF of 67,3702 as per the given fractions.
GCF of 67,3702 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 153,256
Given numbers has no common factors except 1. So, there LCM is their product i.e 39168
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 153,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,256) x common factors =1 x 1 = 1
LCM(153,256) = ( 153 × 256 ) / 1
LCM(153,256) = 39168 / 1
LCM(153,256) = 39168
Lets's calculate GCF of 67,3702
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39168/1
Therefore the LCM of Fractions 153/67,256/3702 is 39168
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 3702
List of positive integer factors of 3702 that divides 3702 without a remainder.
1,2,3,6,617,1234,1851,3702
Greatest Common Factor
We found the factors 67,3702 . The biggest common factor number is the GCF number.
So the greatest common factor 67,3702 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 153/67, 256/3702?
Answer: LCM of Numerators as per given numbers 153/67, 256/3702 is
LCM of Numerators i.e. for 153,256 is 39168
GCF of denominators i.e. for 67,3702 is 1.
Thus, LCM of Fractions is 39168.Finally, LCM of Fractions for 153/67, 256/3702 is 39168.