Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/737, 65/973, 941/352 quickly i.e. 856310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/737, 65/973, 941/352 is 856310.
LCM(14/737, 65/973, 941/352) = 856310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/737,65/973,941/352
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 14,65,941
Least Common Multiple of Numerators i.e. LCM of 14,65,941 is 856310.
GCF of Denominators means GCF of 737,973,352 as per the given fractions.
GCF of 737,973,352 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,65,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 856310
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 14,65,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,65,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,65,941) x common factors =1 x 1 = 1
LCM(14,65,941) = ( 14 × 65 × 941 ) / 1
LCM(14,65,941) = 856310 / 1
LCM(14,65,941) = 856310
Lets's calculate GCF of 737,973,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 856310/1
Therefore the LCM of Fractions 14/737,65/973,941/352 is 856310
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 737,973,352 . The biggest common factor number is the GCF number.
So the greatest common factor 737,973,352 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 14/737, 65/973, 941/352?
Answer: LCM of Numerators as per given numbers 14/737, 65/973, 941/352 is
LCM of Numerators i.e. for 14,65,941 is 856310
GCF of denominators i.e. for 737,973,352 is 1.
Thus, LCM of Fractions is 856310.Finally, LCM of Fractions for 14/737, 65/973, 941/352 is 856310.