Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 602/180, 375/445 quickly i.e. 45150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 602/180, 375/445 is 45150.
LCM(602/180, 375/445) = 45150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 602/180,375/445
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 602,375
Least Common Multiple of Numerators i.e. LCM of 602,375 is 225750.
GCF of Denominators means GCF of 180,445 as per the given fractions.
GCF of 180,445 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 602,375
Given numbers has no common factors except 1. So, there LCM is their product i.e 225750
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 602,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(602,375) x common factors =1 x 1 = 1
LCM(602,375) = ( 602 × 375 ) / 1
LCM(602,375) = 225750 / 1
LCM(602,375) = 225750
Lets's calculate GCF of 180,445
5 | 180, 445 |
36, 89 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225750/5
Therefore the LCM of Fractions 602/180,375/445 is 45150
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 180,445 . The biggest common factor number is the GCF number.
So the greatest common factor 180,445 is 5.
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 602/180, 375/445?
Answer: LCM of Numerators as per given numbers 602/180, 375/445 is
LCM of Numerators i.e. for 602,375 is 225750
GCF of denominators i.e. for 180,445 is 5.
Thus, LCM of Fractions is 45150.Finally, LCM of Fractions for 602/180, 375/445 is 45150.