Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5438/97, 3452/267 quickly i.e. 9385988 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5438/97, 3452/267 is 9385988.
LCM(5438/97, 3452/267) = 9385988
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5438/97,3452/267
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 5438,3452
Least Common Multiple of Numerators i.e. LCM of 5438,3452 is 9385988.
GCF of Denominators means GCF of 97,267 as per the given fractions.
GCF of 97,267 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5438,3452
2 | 5438, 3452 |
2719, 1726 |
∴ So the LCM of the given numbers is 2 x 2719 x 1726 = 9385988
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 5438,3452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5438,3452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5438,3452) x common factors =2 x 1 = 2
LCM(5438,3452) = ( 5438 × 3452 ) / 2
LCM(5438,3452) = 18771976 / 2
LCM(5438,3452) = 9385988
Lets's calculate GCF of 97,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9385988/1
Therefore the LCM of Fractions 5438/97,3452/267 is 9385988
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 97,267 . The biggest common factor number is the GCF number.
So the greatest common factor 97,267 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 5438/97, 3452/267?
Answer: LCM of Numerators as per given numbers 5438/97, 3452/267 is
LCM of Numerators i.e. for 5438,3452 is 9385988
GCF of denominators i.e. for 97,267 is 1.
Thus, LCM of Fractions is 9385988.Finally, LCM of Fractions for 5438/97, 3452/267 is 9385988.