Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 973/839, 437/379, 305/966 quickly i.e. 129686305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 973/839, 437/379, 305/966 is 129686305.
LCM(973/839, 437/379, 305/966) = 129686305
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 973/839,437/379,305/966
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 973,437,305
Least Common Multiple of Numerators i.e. LCM of 973,437,305 is 129686305.
GCF of Denominators means GCF of 839,379,966 as per the given fractions.
GCF of 839,379,966 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 973,437,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 129686305
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 973,437,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,437,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,437,305) x common factors =1 x 1 = 1
LCM(973,437,305) = ( 973 × 437 × 305 ) / 1
LCM(973,437,305) = 129686305 / 1
LCM(973,437,305) = 129686305
Lets's calculate GCF of 839,379,966
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129686305/1
Therefore the LCM of Fractions 973/839,437/379,305/966 is 129686305
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 379
List of positive integer factors of 379 that divides 379 without a remainder.
1,379
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 839,379,966 . The biggest common factor number is the GCF number.
So the greatest common factor 839,379,966 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 973/839, 437/379, 305/966?
Answer: LCM of Numerators as per given numbers 973/839, 437/379, 305/966 is
LCM of Numerators i.e. for 973,437,305 is 129686305
GCF of denominators i.e. for 839,379,966 is 1.
Thus, LCM of Fractions is 129686305.Finally, LCM of Fractions for 973/839, 437/379, 305/966 is 129686305.