Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7902/545, 1196/7557 quickly i.e. 4725396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7902/545, 1196/7557 is 4725396.
LCM(7902/545, 1196/7557) = 4725396
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7902/545,1196/7557
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 7902,1196
Least Common Multiple of Numerators i.e. LCM of 7902,1196 is 4725396.
GCF of Denominators means GCF of 545,7557 as per the given fractions.
GCF of 545,7557 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7902,1196
2 | 7902, 1196 |
3951, 598 |
∴ So the LCM of the given numbers is 2 x 3951 x 598 = 4725396
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 7902,1196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7902,1196) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7902,1196) x common factors =2 x 1 = 2
LCM(7902,1196) = ( 7902 × 1196 ) / 2
LCM(7902,1196) = 9450792 / 2
LCM(7902,1196) = 4725396
Lets's calculate GCF of 545,7557
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4725396/1
Therefore the LCM of Fractions 7902/545,1196/7557 is 4725396
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 7557
List of positive integer factors of 7557 that divides 7557 without a remainder.
1,3,11,33,229,687,2519,7557
Greatest Common Factor
We found the factors 545,7557 . The biggest common factor number is the GCF number.
So the greatest common factor 545,7557 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 7902/545, 1196/7557?
Answer: LCM of Numerators as per given numbers 7902/545, 1196/7557 is
LCM of Numerators i.e. for 7902,1196 is 4725396
GCF of denominators i.e. for 545,7557 is 1.
Thus, LCM of Fractions is 4725396.Finally, LCM of Fractions for 7902/545, 1196/7557 is 4725396.