Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7944/656, 2367/4500 quickly i.e. 1566954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7944/656, 2367/4500 is 1566954.
LCM(7944/656, 2367/4500) = 1566954
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7944/656,2367/4500
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 7944,2367
Least Common Multiple of Numerators i.e. LCM of 7944,2367 is 6267816.
GCF of Denominators means GCF of 656,4500 as per the given fractions.
GCF of 656,4500 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7944,2367
3 | 7944, 2367 |
2648, 789 |
∴ So the LCM of the given numbers is 3 x 2648 x 789 = 6267816
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 7944,2367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7944,2367) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7944,2367) x common factors =3 x 1 = 3
LCM(7944,2367) = ( 7944 × 2367 ) / 3
LCM(7944,2367) = 18803448 / 3
LCM(7944,2367) = 6267816
Lets's calculate GCF of 656,4500
2 | 656, 4500 |
2 | 328, 2250 |
164, 1125 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6267816/4
Therefore the LCM of Fractions 7944/656,2367/4500 is 1566954
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 4500
List of positive integer factors of 4500 that divides 4500 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500
Greatest Common Factor
We found the factors 656,4500 . The biggest common factor number is the GCF number.
So the greatest common factor 656,4500 is 4.
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 7944/656, 2367/4500?
Answer: LCM of Numerators as per given numbers 7944/656, 2367/4500 is
LCM of Numerators i.e. for 7944,2367 is 6267816
GCF of denominators i.e. for 656,4500 is 4.
Thus, LCM of Fractions is 1566954.Finally, LCM of Fractions for 7944/656, 2367/4500 is 1566954.