Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/263, 29/934, 273/456 quickly i.e. 348348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/263, 29/934, 273/456 is 348348.
LCM(44/263, 29/934, 273/456) = 348348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/263,29/934,273/456
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 44,29,273
Least Common Multiple of Numerators i.e. LCM of 44,29,273 is 348348.
GCF of Denominators means GCF of 263,934,456 as per the given fractions.
GCF of 263,934,456 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,29,273
Given numbers has no common factors except 1. So, there LCM is their product i.e 348348
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 44,29,273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,29,273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,29,273) x common factors =1 x 1 = 1
LCM(44,29,273) = ( 44 × 29 × 273 ) / 1
LCM(44,29,273) = 348348 / 1
LCM(44,29,273) = 348348
Lets's calculate GCF of 263,934,456
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348348/1
Therefore the LCM of Fractions 44/263,29/934,273/456 is 348348
Factors of 263
List of positive integer factors of 263 that divides 263 without a remainder.
1,263
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 263,934,456 . The biggest common factor number is the GCF number.
So the greatest common factor 263,934,456 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 44/263, 29/934, 273/456?
Answer: LCM of Numerators as per given numbers 44/263, 29/934, 273/456 is
LCM of Numerators i.e. for 44,29,273 is 348348
GCF of denominators i.e. for 263,934,456 is 1.
Thus, LCM of Fractions is 348348.Finally, LCM of Fractions for 44/263, 29/934, 273/456 is 348348.