Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/733, 47/336, 475/329 quickly i.e. 245575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/733, 47/336, 475/329 is 245575.
LCM(55/733, 47/336, 475/329) = 245575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/733,47/336,475/329
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 55,47,475
Least Common Multiple of Numerators i.e. LCM of 55,47,475 is 245575.
GCF of Denominators means GCF of 733,336,329 as per the given fractions.
GCF of 733,336,329 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,47,475
5 | 55, 47, 475 |
11, 47, 95 |
∴ So the LCM of the given numbers is 5 x 11 x 47 x 95 = 245575
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 55,47,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,47,475) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(55,47,475) x common factors =1 x 5 = 5
LCM(55,47,475) = ( 55 × 47 × 475 ) / 5
LCM(55,47,475) = 1227875 / 5
LCM(55,47,475) = 245575
Lets's calculate GCF of 733,336,329
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245575/1
Therefore the LCM of Fractions 55/733,47/336,475/329 is 245575
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Greatest Common Factor
We found the factors 733,336,329 . The biggest common factor number is the GCF number.
So the greatest common factor 733,336,329 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 55/733, 47/336, 475/329?
Answer: LCM of Numerators as per given numbers 55/733, 47/336, 475/329 is
LCM of Numerators i.e. for 55,47,475 is 245575
GCF of denominators i.e. for 733,336,329 is 1.
Thus, LCM of Fractions is 245575.Finally, LCM of Fractions for 55/733, 47/336, 475/329 is 245575.