Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 177/658, 5398/3427 quickly i.e. 955446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 177/658, 5398/3427 is 955446.
LCM(177/658, 5398/3427) = 955446
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 177/658,5398/3427
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 177,5398
Least Common Multiple of Numerators i.e. LCM of 177,5398 is 955446.
GCF of Denominators means GCF of 658,3427 as per the given fractions.
GCF of 658,3427 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 177,5398
Given numbers has no common factors except 1. So, there LCM is their product i.e 955446
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 177,5398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,5398) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,5398) x common factors =1 x 1 = 1
LCM(177,5398) = ( 177 × 5398 ) / 1
LCM(177,5398) = 955446 / 1
LCM(177,5398) = 955446
Lets's calculate GCF of 658,3427
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 955446/1
Therefore the LCM of Fractions 177/658,5398/3427 is 955446
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Factors of 3427
List of positive integer factors of 3427 that divides 3427 without a remainder.
1,23,149,3427
Greatest Common Factor
We found the factors 658,3427 . The biggest common factor number is the GCF number.
So the greatest common factor 658,3427 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 177/658, 5398/3427?
Answer: LCM of Numerators as per given numbers 177/658, 5398/3427 is
LCM of Numerators i.e. for 177,5398 is 955446
GCF of denominators i.e. for 658,3427 is 1.
Thus, LCM of Fractions is 955446.Finally, LCM of Fractions for 177/658, 5398/3427 is 955446.