Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/95, 877/46, 578/186 quickly i.e. 44100822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/95, 877/46, 578/186 is 44100822.
LCM(87/95, 877/46, 578/186) = 44100822
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/95,877/46,578/186
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 87,877,578
Least Common Multiple of Numerators i.e. LCM of 87,877,578 is 44100822.
GCF of Denominators means GCF of 95,46,186 as per the given fractions.
GCF of 95,46,186 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,877,578
Given numbers has no common factors except 1. So, there LCM is their product i.e 44100822
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 87,877,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,877,578) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,877,578) x common factors =1 x 1 = 1
LCM(87,877,578) = ( 87 × 877 × 578 ) / 1
LCM(87,877,578) = 44100822 / 1
LCM(87,877,578) = 44100822
Lets's calculate GCF of 95,46,186
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44100822/1
Therefore the LCM of Fractions 87/95,877/46,578/186 is 44100822
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 186
List of positive integer factors of 186 that divides 186 without a remainder.
1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 95,46,186 . The biggest common factor number is the GCF number.
So the greatest common factor 95,46,186 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 87/95, 877/46, 578/186?
Answer: LCM of Numerators as per given numbers 87/95, 877/46, 578/186 is
LCM of Numerators i.e. for 87,877,578 is 44100822
GCF of denominators i.e. for 95,46,186 is 1.
Thus, LCM of Fractions is 44100822.Finally, LCM of Fractions for 87/95, 877/46, 578/186 is 44100822.