Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 546/669, 1437/727 quickly i.e. 261534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 546/669, 1437/727 is 261534.
LCM(546/669, 1437/727) = 261534
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 546/669,1437/727
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 546,1437
Least Common Multiple of Numerators i.e. LCM of 546,1437 is 261534.
GCF of Denominators means GCF of 669,727 as per the given fractions.
GCF of 669,727 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 546,1437
3 | 546, 1437 |
182, 479 |
∴ So the LCM of the given numbers is 3 x 182 x 479 = 261534
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 546,1437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,1437) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(546,1437) x common factors =3 x 1 = 3
LCM(546,1437) = ( 546 × 1437 ) / 3
LCM(546,1437) = 784602 / 3
LCM(546,1437) = 261534
Lets's calculate GCF of 669,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261534/1
Therefore the LCM of Fractions 546/669,1437/727 is 261534
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Greatest Common Factor
We found the factors 669,727 . The biggest common factor number is the GCF number.
So the greatest common factor 669,727 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 546/669, 1437/727?
Answer: LCM of Numerators as per given numbers 546/669, 1437/727 is
LCM of Numerators i.e. for 546,1437 is 261534
GCF of denominators i.e. for 669,727 is 1.
Thus, LCM of Fractions is 261534.Finally, LCM of Fractions for 546/669, 1437/727 is 261534.