Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/954, 60/222, 197/878 quickly i.e. 65010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/954, 60/222, 197/878 is 65010.
LCM(33/954, 60/222, 197/878) = 65010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/954,60/222,197/878
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 33,60,197
Least Common Multiple of Numerators i.e. LCM of 33,60,197 is 130020.
GCF of Denominators means GCF of 954,222,878 as per the given fractions.
GCF of 954,222,878 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,60,197
3 | 33, 60, 197 |
11, 20, 197 |
∴ So the LCM of the given numbers is 3 x 11 x 20 x 197 = 130020
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 33,60,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,60,197) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(33,60,197) x common factors =1 x 3 = 3
LCM(33,60,197) = ( 33 × 60 × 197 ) / 3
LCM(33,60,197) = 390060 / 3
LCM(33,60,197) = 130020
Lets's calculate GCF of 954,222,878
2 | 954, 222, 878 |
477, 111, 439 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130020/2
Therefore the LCM of Fractions 33/954,60/222,197/878 is 65010
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
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 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Greatest Common Factor
We found the factors 954,222,878 . The biggest common factor number is the GCF number.
So the greatest common factor 954,222,878 is 2.
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 33/954, 60/222, 197/878?
Answer: LCM of Numerators as per given numbers 33/954, 60/222, 197/878 is
LCM of Numerators i.e. for 33,60,197 is 130020
GCF of denominators i.e. for 954,222,878 is 2.
Thus, LCM of Fractions is 65010.Finally, LCM of Fractions for 33/954, 60/222, 197/878 is 65010.