Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 937/32, 973/49, 481/244 quickly i.e. 438528181 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 937/32, 973/49, 481/244 is 438528181.
LCM(937/32, 973/49, 481/244) = 438528181
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 937/32,973/49,481/244
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 937,973,481
Least Common Multiple of Numerators i.e. LCM of 937,973,481 is 438528181.
GCF of Denominators means GCF of 32,49,244 as per the given fractions.
GCF of 32,49,244 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 937,973,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 438528181
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 937,973,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,973,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,973,481) x common factors =1 x 1 = 1
LCM(937,973,481) = ( 937 × 973 × 481 ) / 1
LCM(937,973,481) = 438528181 / 1
LCM(937,973,481) = 438528181
Lets's calculate GCF of 32,49,244
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438528181/1
Therefore the LCM of Fractions 937/32,973/49,481/244 is 438528181
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 32,49,244 . The biggest common factor number is the GCF number.
So the greatest common factor 32,49,244 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 937/32, 973/49, 481/244?
Answer: LCM of Numerators as per given numbers 937/32, 973/49, 481/244 is
LCM of Numerators i.e. for 937,973,481 is 438528181
GCF of denominators i.e. for 32,49,244 is 1.
Thus, LCM of Fractions is 438528181.Finally, LCM of Fractions for 937/32, 973/49, 481/244 is 438528181.