Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/919, 94/273, 921/384 quickly i.e. 6666198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/919, 94/273, 921/384 is 6666198.
LCM(77/919, 94/273, 921/384) = 6666198
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/919,94/273,921/384
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 77,94,921
Least Common Multiple of Numerators i.e. LCM of 77,94,921 is 6666198.
GCF of Denominators means GCF of 919,273,384 as per the given fractions.
GCF of 919,273,384 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,94,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 6666198
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 77,94,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,94,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,94,921) x common factors =1 x 1 = 1
LCM(77,94,921) = ( 77 × 94 × 921 ) / 1
LCM(77,94,921) = 6666198 / 1
LCM(77,94,921) = 6666198
Lets's calculate GCF of 919,273,384
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6666198/1
Therefore the LCM of Fractions 77/919,94/273,921/384 is 6666198
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 919,273,384 . The biggest common factor number is the GCF number.
So the greatest common factor 919,273,384 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 77/919, 94/273, 921/384?
Answer: LCM of Numerators as per given numbers 77/919, 94/273, 921/384 is
LCM of Numerators i.e. for 77,94,921 is 6666198
GCF of denominators i.e. for 919,273,384 is 1.
Thus, LCM of Fractions is 6666198.Finally, LCM of Fractions for 77/919, 94/273, 921/384 is 6666198.