Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9492/779, 9335/253 quickly i.e. 88607820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9492/779, 9335/253 is 88607820.
LCM(9492/779, 9335/253) = 88607820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9492/779,9335/253
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 9492,9335
Least Common Multiple of Numerators i.e. LCM of 9492,9335 is 88607820.
GCF of Denominators means GCF of 779,253 as per the given fractions.
GCF of 779,253 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9492,9335
Given numbers has no common factors except 1. So, there LCM is their product i.e 88607820
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 9492,9335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9492,9335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9492,9335) x common factors =1 x 1 = 1
LCM(9492,9335) = ( 9492 × 9335 ) / 1
LCM(9492,9335) = 88607820 / 1
LCM(9492,9335) = 88607820
Lets's calculate GCF of 779,253
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88607820/1
Therefore the LCM of Fractions 9492/779,9335/253 is 88607820
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Greatest Common Factor
We found the factors 779,253 . The biggest common factor number is the GCF number.
So the greatest common factor 779,253 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 9492/779, 9335/253?
Answer: LCM of Numerators as per given numbers 9492/779, 9335/253 is
LCM of Numerators i.e. for 9492,9335 is 88607820
GCF of denominators i.e. for 779,253 is 1.
Thus, LCM of Fractions is 88607820.Finally, LCM of Fractions for 9492/779, 9335/253 is 88607820.