Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 355/96, 710/17, 322/174 quickly i.e. 114310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 355/96, 710/17, 322/174 is 114310.
LCM(355/96, 710/17, 322/174) = 114310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 355/96,710/17,322/174
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 355,710,322
Least Common Multiple of Numerators i.e. LCM of 355,710,322 is 114310.
GCF of Denominators means GCF of 96,17,174 as per the given fractions.
GCF of 96,17,174 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 355,710,322
2 | 355, 710, 322 |
5 | 355, 355, 161 |
71 | 71, 71, 161 |
1, 1, 161 |
∴ So the LCM of the given numbers is 2 x 5 x 71 x 1 x 1 x 161 = 114310
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 355,710,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,710,322) = 1
common factors(in case of two or more numbers have common factors) = 710
GCF(355,710,322) x common factors =1 x 710 = 710
LCM(355,710,322) = ( 355 × 710 × 322 ) / 710
LCM(355,710,322) = 81160100 / 710
LCM(355,710,322) = 114310
Lets's calculate GCF of 96,17,174
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114310/1
Therefore the LCM of Fractions 355/96,710/17,322/174 is 114310
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 96,17,174 . The biggest common factor number is the GCF number.
So the greatest common factor 96,17,174 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 355/96, 710/17, 322/174?
Answer: LCM of Numerators as per given numbers 355/96, 710/17, 322/174 is
LCM of Numerators i.e. for 355,710,322 is 114310
GCF of denominators i.e. for 96,17,174 is 1.
Thus, LCM of Fractions is 114310.Finally, LCM of Fractions for 355/96, 710/17, 322/174 is 114310.