Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 725/222, 9242/889 quickly i.e. 6700450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 725/222, 9242/889 is 6700450.
LCM(725/222, 9242/889) = 6700450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 725/222,9242/889
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 725,9242
Least Common Multiple of Numerators i.e. LCM of 725,9242 is 6700450.
GCF of Denominators means GCF of 222,889 as per the given fractions.
GCF of 222,889 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 725,9242
Given numbers has no common factors except 1. So, there LCM is their product i.e 6700450
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 725,9242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,9242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,9242) x common factors =1 x 1 = 1
LCM(725,9242) = ( 725 × 9242 ) / 1
LCM(725,9242) = 6700450 / 1
LCM(725,9242) = 6700450
Lets's calculate GCF of 222,889
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6700450/1
Therefore the LCM of Fractions 725/222,9242/889 is 6700450
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Greatest Common Factor
We found the factors 222,889 . The biggest common factor number is the GCF number.
So the greatest common factor 222,889 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 725/222, 9242/889?
Answer: LCM of Numerators as per given numbers 725/222, 9242/889 is
LCM of Numerators i.e. for 725,9242 is 6700450
GCF of denominators i.e. for 222,889 is 1.
Thus, LCM of Fractions is 6700450.Finally, LCM of Fractions for 725/222, 9242/889 is 6700450.