Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 981/91, 576/35, 170/357 quickly i.e. 5336640/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 981/91, 576/35, 170/357 is 5336640/7.
LCM(981/91, 576/35, 170/357) = 5336640/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 981/91,576/35,170/357
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 981,576,170
Least Common Multiple of Numerators i.e. LCM of 981,576,170 is 5336640.
GCF of Denominators means GCF of 91,35,357 as per the given fractions.
GCF of 91,35,357 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 981,576,170
2 | 981, 576, 170 |
3 | 981, 288, 85 |
3 | 327, 96, 85 |
109, 32, 85 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 109 x 32 x 85 = 5336640
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 981,576,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,576,170) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(981,576,170) x common factors =1 x 18 = 18
LCM(981,576,170) = ( 981 × 576 × 170 ) / 18
LCM(981,576,170) = 96059520 / 18
LCM(981,576,170) = 5336640
Lets's calculate GCF of 91,35,357
7 | 91, 35, 357 |
13, 5, 51 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5336640/7
Therefore the LCM of Fractions 981/91,576/35,170/357 is 5336640/7
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Greatest Common Factor
We found the factors 91,35,357 . The biggest common factor number is the GCF number.
So the greatest common factor 91,35,357 is 7.
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 981/91, 576/35, 170/357?
Answer: LCM of Numerators as per given numbers 981/91, 576/35, 170/357 is
LCM of Numerators i.e. for 981,576,170 is 5336640
GCF of denominators i.e. for 91,35,357 is 7.
Thus, LCM of Fractions is 5336640/7.Finally, LCM of Fractions for 981/91, 576/35, 170/357 is 5336640/7.