Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/233, 38/253, 53/776 quickly i.e. 6042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/233, 38/253, 53/776 is 6042.
LCM(3/233, 38/253, 53/776) = 6042
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/233,38/253,53/776
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 3,38,53
Least Common Multiple of Numerators i.e. LCM of 3,38,53 is 6042.
GCF of Denominators means GCF of 233,253,776 as per the given fractions.
GCF of 233,253,776 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,38,53
Given numbers has no common factors except 1. So, there LCM is their product i.e 6042
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 3,38,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,38,53) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3,38,53) x common factors =1 x 1 = 1
LCM(3,38,53) = ( 3 × 38 × 53 ) / 1
LCM(3,38,53) = 6042 / 1
LCM(3,38,53) = 6042
Lets's calculate GCF of 233,253,776
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6042/1
Therefore the LCM of Fractions 3/233,38/253,53/776 is 6042
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 776
List of positive integer factors of 776 that divides 776 without a remainder.
1,2,4,8,97,194,388,776
Greatest Common Factor
We found the factors 233,253,776 . The biggest common factor number is the GCF number.
So the greatest common factor 233,253,776 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 3/233, 38/253, 53/776?
Answer: LCM of Numerators as per given numbers 3/233, 38/253, 53/776 is
LCM of Numerators i.e. for 3,38,53 is 6042
GCF of denominators i.e. for 233,253,776 is 1.
Thus, LCM of Fractions is 6042.Finally, LCM of Fractions for 3/233, 38/253, 53/776 is 6042.