Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 374/401, 9498/3940 quickly i.e. 1776126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 374/401, 9498/3940 is 1776126.
LCM(374/401, 9498/3940) = 1776126
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 374/401,9498/3940
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 374,9498
Least Common Multiple of Numerators i.e. LCM of 374,9498 is 1776126.
GCF of Denominators means GCF of 401,3940 as per the given fractions.
GCF of 401,3940 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 374,9498
2 | 374, 9498 |
187, 4749 |
∴ So the LCM of the given numbers is 2 x 187 x 4749 = 1776126
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 374,9498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,9498) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,9498) x common factors =2 x 1 = 2
LCM(374,9498) = ( 374 × 9498 ) / 2
LCM(374,9498) = 3552252 / 2
LCM(374,9498) = 1776126
Lets's calculate GCF of 401,3940
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1776126/1
Therefore the LCM of Fractions 374/401,9498/3940 is 1776126
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 3940
List of positive integer factors of 3940 that divides 3940 without a remainder.
1,2,4,5,10,20,197,394,788,985,1970,3940
Greatest Common Factor
We found the factors 401,3940 . The biggest common factor number is the GCF number.
So the greatest common factor 401,3940 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 374/401, 9498/3940?
Answer: LCM of Numerators as per given numbers 374/401, 9498/3940 is
LCM of Numerators i.e. for 374,9498 is 1776126
GCF of denominators i.e. for 401,3940 is 1.
Thus, LCM of Fractions is 1776126.Finally, LCM of Fractions for 374/401, 9498/3940 is 1776126.