Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 576/542, 4020/167 quickly i.e. 192960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 576/542, 4020/167 is 192960.
LCM(576/542, 4020/167) = 192960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 576/542,4020/167
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 576,4020
Least Common Multiple of Numerators i.e. LCM of 576,4020 is 192960.
GCF of Denominators means GCF of 542,167 as per the given fractions.
GCF of 542,167 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 576,4020
2 | 576, 4020 |
2 | 288, 2010 |
3 | 144, 1005 |
48, 335 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 48 x 335 = 192960
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 576,4020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,4020) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(576,4020) x common factors =12 x 1 = 12
LCM(576,4020) = ( 576 × 4020 ) / 12
LCM(576,4020) = 2315520 / 12
LCM(576,4020) = 192960
Lets's calculate GCF of 542,167
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192960/1
Therefore the LCM of Fractions 576/542,4020/167 is 192960
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Greatest Common Factor
We found the factors 542,167 . The biggest common factor number is the GCF number.
So the greatest common factor 542,167 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 576/542, 4020/167?
Answer: LCM of Numerators as per given numbers 576/542, 4020/167 is
LCM of Numerators i.e. for 576,4020 is 192960
GCF of denominators i.e. for 542,167 is 1.
Thus, LCM of Fractions is 192960.Finally, LCM of Fractions for 576/542, 4020/167 is 192960.