Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 271/696, 4858/3521 quickly i.e. 1316518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 271/696, 4858/3521 is 1316518.
LCM(271/696, 4858/3521) = 1316518
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 271/696,4858/3521
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 271,4858
Least Common Multiple of Numerators i.e. LCM of 271,4858 is 1316518.
GCF of Denominators means GCF of 696,3521 as per the given fractions.
GCF of 696,3521 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 271,4858
Given numbers has no common factors except 1. So, there LCM is their product i.e 1316518
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 271,4858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,4858) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,4858) x common factors =1 x 1 = 1
LCM(271,4858) = ( 271 × 4858 ) / 1
LCM(271,4858) = 1316518 / 1
LCM(271,4858) = 1316518
Lets's calculate GCF of 696,3521
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1316518/1
Therefore the LCM of Fractions 271/696,4858/3521 is 1316518
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 3521
List of positive integer factors of 3521 that divides 3521 without a remainder.
1,7,503,3521
Greatest Common Factor
We found the factors 696,3521 . The biggest common factor number is the GCF number.
So the greatest common factor 696,3521 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 271/696, 4858/3521?
Answer: LCM of Numerators as per given numbers 271/696, 4858/3521 is
LCM of Numerators i.e. for 271,4858 is 1316518
GCF of denominators i.e. for 696,3521 is 1.
Thus, LCM of Fractions is 1316518.Finally, LCM of Fractions for 271/696, 4858/3521 is 1316518.