Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7694/265, 2508/7395 quickly i.e. 9648276/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7694/265, 2508/7395 is 9648276/5.
LCM(7694/265, 2508/7395) = 9648276/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7694/265,2508/7395
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 7694,2508
Least Common Multiple of Numerators i.e. LCM of 7694,2508 is 9648276.
GCF of Denominators means GCF of 265,7395 as per the given fractions.
GCF of 265,7395 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7694,2508
2 | 7694, 2508 |
3847, 1254 |
∴ So the LCM of the given numbers is 2 x 3847 x 1254 = 9648276
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 7694,2508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7694,2508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7694,2508) x common factors =2 x 1 = 2
LCM(7694,2508) = ( 7694 × 2508 ) / 2
LCM(7694,2508) = 19296552 / 2
LCM(7694,2508) = 9648276
Lets's calculate GCF of 265,7395
5 | 265, 7395 |
53, 1479 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9648276/5
Therefore the LCM of Fractions 7694/265,2508/7395 is 9648276/5
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 7395
List of positive integer factors of 7395 that divides 7395 without a remainder.
1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395
Greatest Common Factor
We found the factors 265,7395 . The biggest common factor number is the GCF number.
So the greatest common factor 265,7395 is 5.
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 7694/265, 2508/7395?
Answer: LCM of Numerators as per given numbers 7694/265, 2508/7395 is
LCM of Numerators i.e. for 7694,2508 is 9648276
GCF of denominators i.e. for 265,7395 is 5.
Thus, LCM of Fractions is 9648276/5.Finally, LCM of Fractions for 7694/265, 2508/7395 is 9648276/5.