Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/542, 6356/2007 quickly i.e. 565684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/542, 6356/2007 is 565684.
LCM(89/542, 6356/2007) = 565684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/542,6356/2007
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 89,6356
Least Common Multiple of Numerators i.e. LCM of 89,6356 is 565684.
GCF of Denominators means GCF of 542,2007 as per the given fractions.
GCF of 542,2007 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,6356
Given numbers has no common factors except 1. So, there LCM is their product i.e 565684
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 89,6356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,6356) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,6356) x common factors =1 x 1 = 1
LCM(89,6356) = ( 89 × 6356 ) / 1
LCM(89,6356) = 565684 / 1
LCM(89,6356) = 565684
Lets's calculate GCF of 542,2007
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 565684/1
Therefore the LCM of Fractions 89/542,6356/2007 is 565684
Factors of 542
List of positive integer factors of 542 that divides 542 without a remainder.
1,2,271,542
Factors of 2007
List of positive integer factors of 2007 that divides 2007 without a remainder.
1,3,9,223,669,2007
Greatest Common Factor
We found the factors 542,2007 . The biggest common factor number is the GCF number.
So the greatest common factor 542,2007 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 89/542, 6356/2007?
Answer: LCM of Numerators as per given numbers 89/542, 6356/2007 is
LCM of Numerators i.e. for 89,6356 is 565684
GCF of denominators i.e. for 542,2007 is 1.
Thus, LCM of Fractions is 565684.Finally, LCM of Fractions for 89/542, 6356/2007 is 565684.