Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3012/423, 1093/2567 quickly i.e. 3292116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3012/423, 1093/2567 is 3292116.
LCM(3012/423, 1093/2567) = 3292116
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3012/423,1093/2567
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 3012,1093
Least Common Multiple of Numerators i.e. LCM of 3012,1093 is 3292116.
GCF of Denominators means GCF of 423,2567 as per the given fractions.
GCF of 423,2567 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3012,1093
Given numbers has no common factors except 1. So, there LCM is their product i.e 3292116
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 3012,1093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3012,1093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3012,1093) x common factors =1 x 1 = 1
LCM(3012,1093) = ( 3012 × 1093 ) / 1
LCM(3012,1093) = 3292116 / 1
LCM(3012,1093) = 3292116
Lets's calculate GCF of 423,2567
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3292116/1
Therefore the LCM of Fractions 3012/423,1093/2567 is 3292116
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 2567
List of positive integer factors of 2567 that divides 2567 without a remainder.
1,17,151,2567
Greatest Common Factor
We found the factors 423,2567 . The biggest common factor number is the GCF number.
So the greatest common factor 423,2567 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 3012/423, 1093/2567?
Answer: LCM of Numerators as per given numbers 3012/423, 1093/2567 is
LCM of Numerators i.e. for 3012,1093 is 3292116
GCF of denominators i.e. for 423,2567 is 1.
Thus, LCM of Fractions is 3292116.Finally, LCM of Fractions for 3012/423, 1093/2567 is 3292116.