Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/452, 87/306 quickly i.e. 7917/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/452, 87/306 is 7917/2.
LCM(91/452, 87/306) = 7917/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/452,87/306
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 91,87
Least Common Multiple of Numerators i.e. LCM of 91,87 is 7917.
GCF of Denominators means GCF of 452,306 as per the given fractions.
GCF of 452,306 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,87
Given numbers has no common factors except 1. So, there LCM is their product i.e 7917
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 91,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,87) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,87) x common factors =1 x 1 = 1
LCM(91,87) = ( 91 × 87 ) / 1
LCM(91,87) = 7917 / 1
LCM(91,87) = 7917
Lets's calculate GCF of 452,306
2 | 452, 306 |
226, 153 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7917/2
Therefore the LCM of Fractions 91/452,87/306 is 7917/2
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Greatest Common Factor
We found the factors 452,306 . The biggest common factor number is the GCF number.
So the greatest common factor 452,306 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 91/452, 87/306?
Answer: LCM of Numerators as per given numbers 91/452, 87/306 is
LCM of Numerators i.e. for 91,87 is 7917
GCF of denominators i.e. for 452,306 is 2.
Thus, LCM of Fractions is 7917/2.Finally, LCM of Fractions for 91/452, 87/306 is 7917/2.