Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 773/87, 846/50, 304/848 quickly i.e. 99401616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 773/87, 846/50, 304/848 is 99401616.
LCM(773/87, 846/50, 304/848) = 99401616
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 773/87,846/50,304/848
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 773,846,304
Least Common Multiple of Numerators i.e. LCM of 773,846,304 is 99401616.
GCF of Denominators means GCF of 87,50,848 as per the given fractions.
GCF of 87,50,848 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 773,846,304
2 | 773, 846, 304 |
773, 423, 152 |
∴ So the LCM of the given numbers is 2 x 773 x 423 x 152 = 99401616
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 773,846,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,846,304) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(773,846,304) x common factors =1 x 2 = 2
LCM(773,846,304) = ( 773 × 846 × 304 ) / 2
LCM(773,846,304) = 198803232 / 2
LCM(773,846,304) = 99401616
Lets's calculate GCF of 87,50,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99401616/1
Therefore the LCM of Fractions 773/87,846/50,304/848 is 99401616
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 87,50,848 . The biggest common factor number is the GCF number.
So the greatest common factor 87,50,848 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 773/87, 846/50, 304/848?
Answer: LCM of Numerators as per given numbers 773/87, 846/50, 304/848 is
LCM of Numerators i.e. for 773,846,304 is 99401616
GCF of denominators i.e. for 87,50,848 is 1.
Thus, LCM of Fractions is 99401616.Finally, LCM of Fractions for 773/87, 846/50, 304/848 is 99401616.