Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/267, 3544/1201 quickly i.e. 272888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/267, 3544/1201 is 272888.
LCM(77/267, 3544/1201) = 272888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/267,3544/1201
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 77,3544
Least Common Multiple of Numerators i.e. LCM of 77,3544 is 272888.
GCF of Denominators means GCF of 267,1201 as per the given fractions.
GCF of 267,1201 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,3544
Given numbers has no common factors except 1. So, there LCM is their product i.e 272888
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 77,3544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,3544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,3544) x common factors =1 x 1 = 1
LCM(77,3544) = ( 77 × 3544 ) / 1
LCM(77,3544) = 272888 / 1
LCM(77,3544) = 272888
Lets's calculate GCF of 267,1201
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272888/1
Therefore the LCM of Fractions 77/267,3544/1201 is 272888
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 1201
List of positive integer factors of 1201 that divides 1201 without a remainder.
1,1201
Greatest Common Factor
We found the factors 267,1201 . The biggest common factor number is the GCF number.
So the greatest common factor 267,1201 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 77/267, 3544/1201?
Answer: LCM of Numerators as per given numbers 77/267, 3544/1201 is
LCM of Numerators i.e. for 77,3544 is 272888
GCF of denominators i.e. for 267,1201 is 1.
Thus, LCM of Fractions is 272888.Finally, LCM of Fractions for 77/267, 3544/1201 is 272888.