Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9178/877, 3151/382 quickly i.e. 28919878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9178/877, 3151/382 is 28919878.
LCM(9178/877, 3151/382) = 28919878
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9178/877,3151/382
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 9178,3151
Least Common Multiple of Numerators i.e. LCM of 9178,3151 is 28919878.
GCF of Denominators means GCF of 877,382 as per the given fractions.
GCF of 877,382 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9178,3151
Given numbers has no common factors except 1. So, there LCM is their product i.e 28919878
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 9178,3151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9178,3151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9178,3151) x common factors =1 x 1 = 1
LCM(9178,3151) = ( 9178 × 3151 ) / 1
LCM(9178,3151) = 28919878 / 1
LCM(9178,3151) = 28919878
Lets's calculate GCF of 877,382
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28919878/1
Therefore the LCM of Fractions 9178/877,3151/382 is 28919878
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Greatest Common Factor
We found the factors 877,382 . The biggest common factor number is the GCF number.
So the greatest common factor 877,382 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 9178/877, 3151/382?
Answer: LCM of Numerators as per given numbers 9178/877, 3151/382 is
LCM of Numerators i.e. for 9178,3151 is 28919878
GCF of denominators i.e. for 877,382 is 1.
Thus, LCM of Fractions is 28919878.Finally, LCM of Fractions for 9178/877, 3151/382 is 28919878.