Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/60, 33/222, 89/177 quickly i.e. 7832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/60, 33/222, 89/177 is 7832.
LCM(8/60, 33/222, 89/177) = 7832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/60,33/222,89/177
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 8,33,89
Least Common Multiple of Numerators i.e. LCM of 8,33,89 is 23496.
GCF of Denominators means GCF of 60,222,177 as per the given fractions.
GCF of 60,222,177 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,33,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 23496
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 8,33,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,33,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,33,89) x common factors =1 x 1 = 1
LCM(8,33,89) = ( 8 × 33 × 89 ) / 1
LCM(8,33,89) = 23496 / 1
LCM(8,33,89) = 23496
Lets's calculate GCF of 60,222,177
3 | 60, 222, 177 |
20, 74, 59 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23496/3
Therefore the LCM of Fractions 8/60,33/222,89/177 is 7832
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
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 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 60,222,177 . The biggest common factor number is the GCF number.
So the greatest common factor 60,222,177 is 3.
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 8/60, 33/222, 89/177?
Answer: LCM of Numerators as per given numbers 8/60, 33/222, 89/177 is
LCM of Numerators i.e. for 8,33,89 is 23496
GCF of denominators i.e. for 60,222,177 is 3.
Thus, LCM of Fractions is 7832.Finally, LCM of Fractions for 8/60, 33/222, 89/177 is 7832.