Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1674/909, 3167/1712 quickly i.e. 5301558 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1674/909, 3167/1712 is 5301558.
LCM(1674/909, 3167/1712) = 5301558
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1674/909,3167/1712
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 1674,3167
Least Common Multiple of Numerators i.e. LCM of 1674,3167 is 5301558.
GCF of Denominators means GCF of 909,1712 as per the given fractions.
GCF of 909,1712 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1674,3167
Given numbers has no common factors except 1. So, there LCM is their product i.e 5301558
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 1674,3167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1674,3167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1674,3167) x common factors =1 x 1 = 1
LCM(1674,3167) = ( 1674 × 3167 ) / 1
LCM(1674,3167) = 5301558 / 1
LCM(1674,3167) = 5301558
Lets's calculate GCF of 909,1712
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5301558/1
Therefore the LCM of Fractions 1674/909,3167/1712 is 5301558
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 1712
List of positive integer factors of 1712 that divides 1712 without a remainder.
1,2,4,8,16,107,214,428,856,1712
Greatest Common Factor
We found the factors 909,1712 . The biggest common factor number is the GCF number.
So the greatest common factor 909,1712 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 1674/909, 3167/1712?
Answer: LCM of Numerators as per given numbers 1674/909, 3167/1712 is
LCM of Numerators i.e. for 1674,3167 is 5301558
GCF of denominators i.e. for 909,1712 is 1.
Thus, LCM of Fractions is 5301558.Finally, LCM of Fractions for 1674/909, 3167/1712 is 5301558.