Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/335, 77/304, 444/164 quickly i.e. 444444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/335, 77/304, 444/164 is 444444.
LCM(26/335, 77/304, 444/164) = 444444
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/335,77/304,444/164
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 26,77,444
Least Common Multiple of Numerators i.e. LCM of 26,77,444 is 444444.
GCF of Denominators means GCF of 335,304,164 as per the given fractions.
GCF of 335,304,164 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,77,444
2 | 26, 77, 444 |
13, 77, 222 |
∴ So the LCM of the given numbers is 2 x 13 x 77 x 222 = 444444
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 26,77,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,77,444) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,77,444) x common factors =1 x 2 = 2
LCM(26,77,444) = ( 26 × 77 × 444 ) / 2
LCM(26,77,444) = 888888 / 2
LCM(26,77,444) = 444444
Lets's calculate GCF of 335,304,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 444444/1
Therefore the LCM of Fractions 26/335,77/304,444/164 is 444444
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Greatest Common Factor
We found the factors 335,304,164 . The biggest common factor number is the GCF number.
So the greatest common factor 335,304,164 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 26/335, 77/304, 444/164?
Answer: LCM of Numerators as per given numbers 26/335, 77/304, 444/164 is
LCM of Numerators i.e. for 26,77,444 is 444444
GCF of denominators i.e. for 335,304,164 is 1.
Thus, LCM of Fractions is 444444.Finally, LCM of Fractions for 26/335, 77/304, 444/164 is 444444.