Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/745, 31/650, 162/471 quickly i.e. 477090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/745, 31/650, 162/471 is 477090.
LCM(95/745, 31/650, 162/471) = 477090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/745,31/650,162/471
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 95,31,162
Least Common Multiple of Numerators i.e. LCM of 95,31,162 is 477090.
GCF of Denominators means GCF of 745,650,471 as per the given fractions.
GCF of 745,650,471 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,31,162
Given numbers has no common factors except 1. So, there LCM is their product i.e 477090
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 95,31,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,31,162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,31,162) x common factors =1 x 1 = 1
LCM(95,31,162) = ( 95 × 31 × 162 ) / 1
LCM(95,31,162) = 477090 / 1
LCM(95,31,162) = 477090
Lets's calculate GCF of 745,650,471
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 477090/1
Therefore the LCM of Fractions 95/745,31/650,162/471 is 477090
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Greatest Common Factor
We found the factors 745,650,471 . The biggest common factor number is the GCF number.
So the greatest common factor 745,650,471 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 95/745, 31/650, 162/471?
Answer: LCM of Numerators as per given numbers 95/745, 31/650, 162/471 is
LCM of Numerators i.e. for 95,31,162 is 477090
GCF of denominators i.e. for 745,650,471 is 1.
Thus, LCM of Fractions is 477090.Finally, LCM of Fractions for 95/745, 31/650, 162/471 is 477090.