Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/935, 54/295, 67/666 quickly i.e. 3618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/935, 54/295, 67/666 is 3618.
LCM(2/935, 54/295, 67/666) = 3618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/935,54/295,67/666
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 2,54,67
Least Common Multiple of Numerators i.e. LCM of 2,54,67 is 3618.
GCF of Denominators means GCF of 935,295,666 as per the given fractions.
GCF of 935,295,666 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,54,67
2 | 2, 54, 67 |
1, 27, 67 |
∴ So the LCM of the given numbers is 2 x 1 x 27 x 67 = 3618
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 2,54,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,54,67) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,54,67) x common factors =1 x 2 = 2
LCM(2,54,67) = ( 2 × 54 × 67 ) / 2
LCM(2,54,67) = 7236 / 2
LCM(2,54,67) = 3618
Lets's calculate GCF of 935,295,666
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3618/1
Therefore the LCM of Fractions 2/935,54/295,67/666 is 3618
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 935,295,666 . The biggest common factor number is the GCF number.
So the greatest common factor 935,295,666 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 2/935, 54/295, 67/666?
Answer: LCM of Numerators as per given numbers 2/935, 54/295, 67/666 is
LCM of Numerators i.e. for 2,54,67 is 3618
GCF of denominators i.e. for 935,295,666 is 1.
Thus, LCM of Fractions is 3618.Finally, LCM of Fractions for 2/935, 54/295, 67/666 is 3618.