Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 427/93, 862/49, 291/96 quickly i.e. 107109534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 427/93, 862/49, 291/96 is 107109534.
LCM(427/93, 862/49, 291/96) = 107109534
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 427/93,862/49,291/96
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 427,862,291
Least Common Multiple of Numerators i.e. LCM of 427,862,291 is 107109534.
GCF of Denominators means GCF of 93,49,96 as per the given fractions.
GCF of 93,49,96 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 427,862,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 107109534
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 427,862,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,862,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,862,291) x common factors =1 x 1 = 1
LCM(427,862,291) = ( 427 × 862 × 291 ) / 1
LCM(427,862,291) = 107109534 / 1
LCM(427,862,291) = 107109534
Lets's calculate GCF of 93,49,96
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107109534/1
Therefore the LCM of Fractions 427/93,862/49,291/96 is 107109534
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Greatest Common Factor
We found the factors 93,49,96 . The biggest common factor number is the GCF number.
So the greatest common factor 93,49,96 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 427/93, 862/49, 291/96?
Answer: LCM of Numerators as per given numbers 427/93, 862/49, 291/96 is
LCM of Numerators i.e. for 427,862,291 is 107109534
GCF of denominators i.e. for 93,49,96 is 1.
Thus, LCM of Fractions is 107109534.Finally, LCM of Fractions for 427/93, 862/49, 291/96 is 107109534.