Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7752/545, 1137/608 quickly i.e. 2938008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7752/545, 1137/608 is 2938008.
LCM(7752/545, 1137/608) = 2938008
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7752/545,1137/608
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 7752,1137
Least Common Multiple of Numerators i.e. LCM of 7752,1137 is 2938008.
GCF of Denominators means GCF of 545,608 as per the given fractions.
GCF of 545,608 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7752,1137
3 | 7752, 1137 |
2584, 379 |
∴ So the LCM of the given numbers is 3 x 2584 x 379 = 2938008
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 7752,1137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7752,1137) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7752,1137) x common factors =3 x 1 = 3
LCM(7752,1137) = ( 7752 × 1137 ) / 3
LCM(7752,1137) = 8814024 / 3
LCM(7752,1137) = 2938008
Lets's calculate GCF of 545,608
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2938008/1
Therefore the LCM of Fractions 7752/545,1137/608 is 2938008
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 545,608 . The biggest common factor number is the GCF number.
So the greatest common factor 545,608 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 7752/545, 1137/608?
Answer: LCM of Numerators as per given numbers 7752/545, 1137/608 is
LCM of Numerators i.e. for 7752,1137 is 2938008
GCF of denominators i.e. for 545,608 is 1.
Thus, LCM of Fractions is 2938008.Finally, LCM of Fractions for 7752/545, 1137/608 is 2938008.