Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/181, 95/730, 267/138 quickly i.e. 2308215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/181, 95/730, 267/138 is 2308215.
LCM(91/181, 95/730, 267/138) = 2308215
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/181,95/730,267/138
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 91,95,267
Least Common Multiple of Numerators i.e. LCM of 91,95,267 is 2308215.
GCF of Denominators means GCF of 181,730,138 as per the given fractions.
GCF of 181,730,138 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,95,267
Given numbers has no common factors except 1. So, there LCM is their product i.e 2308215
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 91,95,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,95,267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,95,267) x common factors =1 x 1 = 1
LCM(91,95,267) = ( 91 × 95 × 267 ) / 1
LCM(91,95,267) = 2308215 / 1
LCM(91,95,267) = 2308215
Lets's calculate GCF of 181,730,138
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2308215/1
Therefore the LCM of Fractions 91/181,95/730,267/138 is 2308215
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Greatest Common Factor
We found the factors 181,730,138 . The biggest common factor number is the GCF number.
So the greatest common factor 181,730,138 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 91/181, 95/730, 267/138?
Answer: LCM of Numerators as per given numbers 91/181, 95/730, 267/138 is
LCM of Numerators i.e. for 91,95,267 is 2308215
GCF of denominators i.e. for 181,730,138 is 1.
Thus, LCM of Fractions is 2308215.Finally, LCM of Fractions for 91/181, 95/730, 267/138 is 2308215.