Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 134/549, 674/831 quickly i.e. 45158/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 134/549, 674/831 is 45158/3.
LCM(134/549, 674/831) = 45158/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 134/549,674/831
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 134,674
Least Common Multiple of Numerators i.e. LCM of 134,674 is 45158.
GCF of Denominators means GCF of 549,831 as per the given fractions.
GCF of 549,831 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 134,674
2 | 134, 674 |
67, 337 |
∴ So the LCM of the given numbers is 2 x 67 x 337 = 45158
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 134,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(134,674) x common factors =2 x 1 = 2
LCM(134,674) = ( 134 × 674 ) / 2
LCM(134,674) = 90316 / 2
LCM(134,674) = 45158
Lets's calculate GCF of 549,831
3 | 549, 831 |
183, 277 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45158/3
Therefore the LCM of Fractions 134/549,674/831 is 45158/3
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors 549,831 . The biggest common factor number is the GCF number.
So the greatest common factor 549,831 is 3.
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 134/549, 674/831?
Answer: LCM of Numerators as per given numbers 134/549, 674/831 is
LCM of Numerators i.e. for 134,674 is 45158
GCF of denominators i.e. for 549,831 is 3.
Thus, LCM of Fractions is 45158/3.Finally, LCM of Fractions for 134/549, 674/831 is 45158/3.