Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 527/37, 160/3194 quickly i.e. 84320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 527/37, 160/3194 is 84320.
LCM(527/37, 160/3194) = 84320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 527/37,160/3194
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 527,160
Least Common Multiple of Numerators i.e. LCM of 527,160 is 84320.
GCF of Denominators means GCF of 37,3194 as per the given fractions.
GCF of 37,3194 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 527,160
Given numbers has no common factors except 1. So, there LCM is their product i.e 84320
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 527,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,160) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,160) x common factors =1 x 1 = 1
LCM(527,160) = ( 527 × 160 ) / 1
LCM(527,160) = 84320 / 1
LCM(527,160) = 84320
Lets's calculate GCF of 37,3194
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84320/1
Therefore the LCM of Fractions 527/37,160/3194 is 84320
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 3194
List of positive integer factors of 3194 that divides 3194 without a remainder.
1,2,1597,3194
Greatest Common Factor
We found the factors 37,3194 . The biggest common factor number is the GCF number.
So the greatest common factor 37,3194 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 527/37, 160/3194?
Answer: LCM of Numerators as per given numbers 527/37, 160/3194 is
LCM of Numerators i.e. for 527,160 is 84320
GCF of denominators i.e. for 37,3194 is 1.
Thus, LCM of Fractions is 84320.Finally, LCM of Fractions for 527/37, 160/3194 is 84320.