Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 376/297, 167/320 quickly i.e. 62792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 376/297, 167/320 is 62792.
LCM(376/297, 167/320) = 62792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 376/297,167/320
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 376,167
Least Common Multiple of Numerators i.e. LCM of 376,167 is 62792.
GCF of Denominators means GCF of 297,320 as per the given fractions.
GCF of 297,320 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 376,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 62792
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 376,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(376,167) x common factors =1 x 1 = 1
LCM(376,167) = ( 376 × 167 ) / 1
LCM(376,167) = 62792 / 1
LCM(376,167) = 62792
Lets's calculate GCF of 297,320
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62792/1
Therefore the LCM of Fractions 376/297,167/320 is 62792
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 297,320 . The biggest common factor number is the GCF number.
So the greatest common factor 297,320 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 376/297, 167/320?
Answer: LCM of Numerators as per given numbers 376/297, 167/320 is
LCM of Numerators i.e. for 376,167 is 62792
GCF of denominators i.e. for 297,320 is 1.
Thus, LCM of Fractions is 62792.Finally, LCM of Fractions for 376/297, 167/320 is 62792.