Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 379/733, 179/681, 202/662 quickly i.e. 13703882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 379/733, 179/681, 202/662 is 13703882.
LCM(379/733, 179/681, 202/662) = 13703882
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 379/733,179/681,202/662
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 379,179,202
Least Common Multiple of Numerators i.e. LCM of 379,179,202 is 13703882.
GCF of Denominators means GCF of 733,681,662 as per the given fractions.
GCF of 733,681,662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 379,179,202
Given numbers has no common factors except 1. So, there LCM is their product i.e 13703882
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 379,179,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,179,202) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,179,202) x common factors =1 x 1 = 1
LCM(379,179,202) = ( 379 × 179 × 202 ) / 1
LCM(379,179,202) = 13703882 / 1
LCM(379,179,202) = 13703882
Lets's calculate GCF of 733,681,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13703882/1
Therefore the LCM of Fractions 379/733,179/681,202/662 is 13703882
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 733,681,662 . The biggest common factor number is the GCF number.
So the greatest common factor 733,681,662 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 379/733, 179/681, 202/662?
Answer: LCM of Numerators as per given numbers 379/733, 179/681, 202/662 is
LCM of Numerators i.e. for 379,179,202 is 13703882
GCF of denominators i.e. for 733,681,662 is 1.
Thus, LCM of Fractions is 13703882.Finally, LCM of Fractions for 379/733, 179/681, 202/662 is 13703882.