Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 704/68, 272/91, 534/103 quickly i.e. 3195456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 704/68, 272/91, 534/103 is 3195456.
LCM(704/68, 272/91, 534/103) = 3195456
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 704/68,272/91,534/103
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 704,272,534
Least Common Multiple of Numerators i.e. LCM of 704,272,534 is 3195456.
GCF of Denominators means GCF of 68,91,103 as per the given fractions.
GCF of 68,91,103 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 704,272,534
2 | 704, 272, 534 |
2 | 352, 136, 267 |
2 | 176, 68, 267 |
2 | 88, 34, 267 |
44, 17, 267 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 44 x 17 x 267 = 3195456
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 704,272,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,272,534) = 2
common factors(in case of two or more numbers have common factors) = 16
GCF(704,272,534) x common factors =2 x 16 = 32
LCM(704,272,534) = ( 704 × 272 × 534 ) / 32
LCM(704,272,534) = 102254592 / 32
LCM(704,272,534) = 3195456
Lets's calculate GCF of 68,91,103
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3195456/1
Therefore the LCM of Fractions 704/68,272/91,534/103 is 3195456
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Greatest Common Factor
We found the factors 68,91,103 . The biggest common factor number is the GCF number.
So the greatest common factor 68,91,103 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 704/68, 272/91, 534/103?
Answer: LCM of Numerators as per given numbers 704/68, 272/91, 534/103 is
LCM of Numerators i.e. for 704,272,534 is 3195456
GCF of denominators i.e. for 68,91,103 is 1.
Thus, LCM of Fractions is 3195456.Finally, LCM of Fractions for 704/68, 272/91, 534/103 is 3195456.