Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 202/969, 7498/5449 quickly i.e. 757298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 202/969, 7498/5449 is 757298.
LCM(202/969, 7498/5449) = 757298
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 202/969,7498/5449
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 202,7498
Least Common Multiple of Numerators i.e. LCM of 202,7498 is 757298.
GCF of Denominators means GCF of 969,5449 as per the given fractions.
GCF of 969,5449 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 202,7498
2 | 202, 7498 |
101, 3749 |
∴ So the LCM of the given numbers is 2 x 101 x 3749 = 757298
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 202,7498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,7498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,7498) x common factors =2 x 1 = 2
LCM(202,7498) = ( 202 × 7498 ) / 2
LCM(202,7498) = 1514596 / 2
LCM(202,7498) = 757298
Lets's calculate GCF of 969,5449
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 757298/1
Therefore the LCM of Fractions 202/969,7498/5449 is 757298
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Factors of 5449
List of positive integer factors of 5449 that divides 5449 without a remainder.
1,5449
Greatest Common Factor
We found the factors 969,5449 . The biggest common factor number is the GCF number.
So the greatest common factor 969,5449 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 202/969, 7498/5449?
Answer: LCM of Numerators as per given numbers 202/969, 7498/5449 is
LCM of Numerators i.e. for 202,7498 is 757298
GCF of denominators i.e. for 969,5449 is 1.
Thus, LCM of Fractions is 757298.Finally, LCM of Fractions for 202/969, 7498/5449 is 757298.