Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/297, 89/160, 175/264 quickly i.e. 1152550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/297, 89/160, 175/264 is 1152550.
LCM(74/297, 89/160, 175/264) = 1152550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/297,89/160,175/264
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 74,89,175
Least Common Multiple of Numerators i.e. LCM of 74,89,175 is 1152550.
GCF of Denominators means GCF of 297,160,264 as per the given fractions.
GCF of 297,160,264 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,89,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 1152550
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 74,89,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,89,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,89,175) x common factors =1 x 1 = 1
LCM(74,89,175) = ( 74 × 89 × 175 ) / 1
LCM(74,89,175) = 1152550 / 1
LCM(74,89,175) = 1152550
Lets's calculate GCF of 297,160,264
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1152550/1
Therefore the LCM of Fractions 74/297,89/160,175/264 is 1152550
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 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Greatest Common Factor
We found the factors 297,160,264 . The biggest common factor number is the GCF number.
So the greatest common factor 297,160,264 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 74/297, 89/160, 175/264?
Answer: LCM of Numerators as per given numbers 74/297, 89/160, 175/264 is
LCM of Numerators i.e. for 74,89,175 is 1152550
GCF of denominators i.e. for 297,160,264 is 1.
Thus, LCM of Fractions is 1152550.Finally, LCM of Fractions for 74/297, 89/160, 175/264 is 1152550.