Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2367/304, 4220/7776 quickly i.e. 9988740/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2367/304, 4220/7776 is 9988740/16.
LCM(2367/304, 4220/7776) = 9988740/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2367/304,4220/7776
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 2367,4220
Least Common Multiple of Numerators i.e. LCM of 2367,4220 is 9988740.
GCF of Denominators means GCF of 304,7776 as per the given fractions.
GCF of 304,7776 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2367,4220
Given numbers has no common factors except 1. So, there LCM is their product i.e 9988740
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 2367,4220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2367,4220) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2367,4220) x common factors =1 x 1 = 1
LCM(2367,4220) = ( 2367 × 4220 ) / 1
LCM(2367,4220) = 9988740 / 1
LCM(2367,4220) = 9988740
Lets's calculate GCF of 304,7776
2 | 304, 7776 |
2 | 152, 3888 |
2 | 76, 1944 |
2 | 38, 972 |
19, 486 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9988740/16
Therefore the LCM of Fractions 2367/304,4220/7776 is 9988740/16
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 7776
List of positive integer factors of 7776 that divides 7776 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,81,96,108,144,162,216,243,288,324,432,486,648,864,972,1296,1944,2592,3888,7776
Greatest Common Factor
We found the factors 304,7776 . The biggest common factor number is the GCF number.
So the greatest common factor 304,7776 is 16.
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 2367/304, 4220/7776?
Answer: LCM of Numerators as per given numbers 2367/304, 4220/7776 is
LCM of Numerators i.e. for 2367,4220 is 9988740
GCF of denominators i.e. for 304,7776 is 16.
Thus, LCM of Fractions is 9988740/16.Finally, LCM of Fractions for 2367/304, 4220/7776 is 9988740/16.