Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/87, 61/326, 53/195 quickly i.e. 12932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/87, 61/326, 53/195 is 12932.
LCM(4/87, 61/326, 53/195) = 12932
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/87,61/326,53/195
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 4,61,53
Least Common Multiple of Numerators i.e. LCM of 4,61,53 is 12932.
GCF of Denominators means GCF of 87,326,195 as per the given fractions.
GCF of 87,326,195 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,61,53
Given numbers has no common factors except 1. So, there LCM is their product i.e 12932
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 4,61,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,61,53) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4,61,53) x common factors =1 x 1 = 1
LCM(4,61,53) = ( 4 × 61 × 53 ) / 1
LCM(4,61,53) = 12932 / 1
LCM(4,61,53) = 12932
Lets's calculate GCF of 87,326,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12932/1
Therefore the LCM of Fractions 4/87,61/326,53/195 is 12932
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 87,326,195 . The biggest common factor number is the GCF number.
So the greatest common factor 87,326,195 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 4/87, 61/326, 53/195?
Answer: LCM of Numerators as per given numbers 4/87, 61/326, 53/195 is
LCM of Numerators i.e. for 4,61,53 is 12932
GCF of denominators i.e. for 87,326,195 is 1.
Thus, LCM of Fractions is 12932.Finally, LCM of Fractions for 4/87, 61/326, 53/195 is 12932.