Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/274, 16/464, 937/283 quickly i.e. 1244336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/274, 16/464, 937/283 is 1244336.
LCM(83/274, 16/464, 937/283) = 1244336
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/274,16/464,937/283
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 83,16,937
Least Common Multiple of Numerators i.e. LCM of 83,16,937 is 1244336.
GCF of Denominators means GCF of 274,464,283 as per the given fractions.
GCF of 274,464,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,16,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 1244336
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 83,16,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,16,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,16,937) x common factors =1 x 1 = 1
LCM(83,16,937) = ( 83 × 16 × 937 ) / 1
LCM(83,16,937) = 1244336 / 1
LCM(83,16,937) = 1244336
Lets's calculate GCF of 274,464,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1244336/1
Therefore the LCM of Fractions 83/274,16/464,937/283 is 1244336
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Factors of 464
List of positive integer factors of 464 that divides 464 without a remainder.
1,2,4,8,16,29,58,116,232,464
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 274,464,283 . The biggest common factor number is the GCF number.
So the greatest common factor 274,464,283 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 83/274, 16/464, 937/283?
Answer: LCM of Numerators as per given numbers 83/274, 16/464, 937/283 is
LCM of Numerators i.e. for 83,16,937 is 1244336
GCF of denominators i.e. for 274,464,283 is 1.
Thus, LCM of Fractions is 1244336.Finally, LCM of Fractions for 83/274, 16/464, 937/283 is 1244336.