Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 546/462, 340/556 quickly i.e. 46410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 546/462, 340/556 is 46410.
LCM(546/462, 340/556) = 46410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 546/462,340/556
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 546,340
Least Common Multiple of Numerators i.e. LCM of 546,340 is 92820.
GCF of Denominators means GCF of 462,556 as per the given fractions.
GCF of 462,556 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 546,340
2 | 546, 340 |
273, 170 |
∴ So the LCM of the given numbers is 2 x 273 x 170 = 92820
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 546,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,340) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(546,340) x common factors =2 x 1 = 2
LCM(546,340) = ( 546 × 340 ) / 2
LCM(546,340) = 185640 / 2
LCM(546,340) = 92820
Lets's calculate GCF of 462,556
2 | 462, 556 |
231, 278 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92820/2
Therefore the LCM of Fractions 546/462,340/556 is 46410
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1,2,4,139,278,556
Greatest Common Factor
We found the factors 462,556 . The biggest common factor number is the GCF number.
So the greatest common factor 462,556 is 2.
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 546/462, 340/556?
Answer: LCM of Numerators as per given numbers 546/462, 340/556 is
LCM of Numerators i.e. for 546,340 is 92820
GCF of denominators i.e. for 462,556 is 2.
Thus, LCM of Fractions is 46410.Finally, LCM of Fractions for 546/462, 340/556 is 46410.