Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 170/82, 7334/556 quickly i.e. 311695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 170/82, 7334/556 is 311695.
LCM(170/82, 7334/556) = 311695
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 170/82,7334/556
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 170,7334
Least Common Multiple of Numerators i.e. LCM of 170,7334 is 623390.
GCF of Denominators means GCF of 82,556 as per the given fractions.
GCF of 82,556 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 170,7334
2 | 170, 7334 |
85, 3667 |
∴ So the LCM of the given numbers is 2 x 85 x 3667 = 623390
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 170,7334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,7334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,7334) x common factors =2 x 1 = 2
LCM(170,7334) = ( 170 × 7334 ) / 2
LCM(170,7334) = 1246780 / 2
LCM(170,7334) = 623390
Lets's calculate GCF of 82,556
2 | 82, 556 |
41, 278 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 623390/2
Therefore the LCM of Fractions 170/82,7334/556 is 311695
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 82,556 . The biggest common factor number is the GCF number.
So the greatest common factor 82,556 is 2.
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 170/82, 7334/556?
Answer: LCM of Numerators as per given numbers 170/82, 7334/556 is
LCM of Numerators i.e. for 170,7334 is 623390
GCF of denominators i.e. for 82,556 is 2.
Thus, LCM of Fractions is 311695.Finally, LCM of Fractions for 170/82, 7334/556 is 311695.