Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 654/177, 7187/646 quickly i.e. 4700298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 654/177, 7187/646 is 4700298.
LCM(654/177, 7187/646) = 4700298
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 654/177,7187/646
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 654,7187
Least Common Multiple of Numerators i.e. LCM of 654,7187 is 4700298.
GCF of Denominators means GCF of 177,646 as per the given fractions.
GCF of 177,646 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 654,7187
Given numbers has no common factors except 1. So, there LCM is their product i.e 4700298
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 654,7187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,7187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(654,7187) x common factors =1 x 1 = 1
LCM(654,7187) = ( 654 × 7187 ) / 1
LCM(654,7187) = 4700298 / 1
LCM(654,7187) = 4700298
Lets's calculate GCF of 177,646
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4700298/1
Therefore the LCM of Fractions 654/177,7187/646 is 4700298
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 177,646 . The biggest common factor number is the GCF number.
So the greatest common factor 177,646 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 654/177, 7187/646?
Answer: LCM of Numerators as per given numbers 654/177, 7187/646 is
LCM of Numerators i.e. for 654,7187 is 4700298
GCF of denominators i.e. for 177,646 is 1.
Thus, LCM of Fractions is 4700298.Finally, LCM of Fractions for 654/177, 7187/646 is 4700298.