Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/734, 2097/5454 quickly i.e. 127917/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/734, 2097/5454 is 127917/2.
LCM(61/734, 2097/5454) = 127917/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/734,2097/5454
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 61,2097
Least Common Multiple of Numerators i.e. LCM of 61,2097 is 127917.
GCF of Denominators means GCF of 734,5454 as per the given fractions.
GCF of 734,5454 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,2097
Given numbers has no common factors except 1. So, there LCM is their product i.e 127917
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 61,2097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,2097) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,2097) x common factors =1 x 1 = 1
LCM(61,2097) = ( 61 × 2097 ) / 1
LCM(61,2097) = 127917 / 1
LCM(61,2097) = 127917
Lets's calculate GCF of 734,5454
2 | 734, 5454 |
367, 2727 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127917/2
Therefore the LCM of Fractions 61/734,2097/5454 is 127917/2
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 5454
List of positive integer factors of 5454 that divides 5454 without a remainder.
1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454
Greatest Common Factor
We found the factors 734,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 734,5454 is 2.
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 61/734, 2097/5454?
Answer: LCM of Numerators as per given numbers 61/734, 2097/5454 is
LCM of Numerators i.e. for 61,2097 is 127917
GCF of denominators i.e. for 734,5454 is 2.
Thus, LCM of Fractions is 127917/2.Finally, LCM of Fractions for 61/734, 2097/5454 is 127917/2.