Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 295/352, 6779/9901 quickly i.e. 1999805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 295/352, 6779/9901 is 1999805.
LCM(295/352, 6779/9901) = 1999805
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 295/352,6779/9901
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 295,6779
Least Common Multiple of Numerators i.e. LCM of 295,6779 is 1999805.
GCF of Denominators means GCF of 352,9901 as per the given fractions.
GCF of 352,9901 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 295,6779
Given numbers has no common factors except 1. So, there LCM is their product i.e 1999805
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 295,6779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,6779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,6779) x common factors =1 x 1 = 1
LCM(295,6779) = ( 295 × 6779 ) / 1
LCM(295,6779) = 1999805 / 1
LCM(295,6779) = 1999805
Lets's calculate GCF of 352,9901
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1999805/1
Therefore the LCM of Fractions 295/352,6779/9901 is 1999805
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 9901
List of positive integer factors of 9901 that divides 9901 without a remainder.
1,9901
Greatest Common Factor
We found the factors 352,9901 . The biggest common factor number is the GCF number.
So the greatest common factor 352,9901 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 295/352, 6779/9901?
Answer: LCM of Numerators as per given numbers 295/352, 6779/9901 is
LCM of Numerators i.e. for 295,6779 is 1999805
GCF of denominators i.e. for 352,9901 is 1.
Thus, LCM of Fractions is 1999805.Finally, LCM of Fractions for 295/352, 6779/9901 is 1999805.