Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 202/473, 491/190, 235/162 quickly i.e. 23307770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 202/473, 491/190, 235/162 is 23307770.
LCM(202/473, 491/190, 235/162) = 23307770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 202/473,491/190,235/162
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 202,491,235
Least Common Multiple of Numerators i.e. LCM of 202,491,235 is 23307770.
GCF of Denominators means GCF of 473,190,162 as per the given fractions.
GCF of 473,190,162 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 202,491,235
Given numbers has no common factors except 1. So, there LCM is their product i.e 23307770
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 202,491,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,491,235) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(202,491,235) x common factors =1 x 1 = 1
LCM(202,491,235) = ( 202 × 491 × 235 ) / 1
LCM(202,491,235) = 23307770 / 1
LCM(202,491,235) = 23307770
Lets's calculate GCF of 473,190,162
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23307770/1
Therefore the LCM of Fractions 202/473,491/190,235/162 is 23307770
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 473,190,162 . The biggest common factor number is the GCF number.
So the greatest common factor 473,190,162 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 202/473, 491/190, 235/162?
Answer: LCM of Numerators as per given numbers 202/473, 491/190, 235/162 is
LCM of Numerators i.e. for 202,491,235 is 23307770
GCF of denominators i.e. for 473,190,162 is 1.
Thus, LCM of Fractions is 23307770.Finally, LCM of Fractions for 202/473, 491/190, 235/162 is 23307770.