Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/348, 229/688, 871/541 quickly i.e. 18549687 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/348, 229/688, 871/541 is 18549687.
LCM(93/348, 229/688, 871/541) = 18549687
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/348,229/688,871/541
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 93,229,871
Least Common Multiple of Numerators i.e. LCM of 93,229,871 is 18549687.
GCF of Denominators means GCF of 348,688,541 as per the given fractions.
GCF of 348,688,541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,229,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 18549687
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 93,229,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,229,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,229,871) x common factors =1 x 1 = 1
LCM(93,229,871) = ( 93 × 229 × 871 ) / 1
LCM(93,229,871) = 18549687 / 1
LCM(93,229,871) = 18549687
Lets's calculate GCF of 348,688,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18549687/1
Therefore the LCM of Fractions 93/348,229/688,871/541 is 18549687
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Greatest Common Factor
We found the factors 348,688,541 . The biggest common factor number is the GCF number.
So the greatest common factor 348,688,541 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 93/348, 229/688, 871/541?
Answer: LCM of Numerators as per given numbers 93/348, 229/688, 871/541 is
LCM of Numerators i.e. for 93,229,871 is 18549687
GCF of denominators i.e. for 348,688,541 is 1.
Thus, LCM of Fractions is 18549687.Finally, LCM of Fractions for 93/348, 229/688, 871/541 is 18549687.