Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 301/27, 903/37, 745/177 quickly i.e. 672735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 301/27, 903/37, 745/177 is 672735.
LCM(301/27, 903/37, 745/177) = 672735
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 301/27,903/37,745/177
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 301,903,745
Least Common Multiple of Numerators i.e. LCM of 301,903,745 is 672735.
GCF of Denominators means GCF of 27,37,177 as per the given fractions.
GCF of 27,37,177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 301,903,745
7 | 301, 903, 745 |
43 | 43, 129, 745 |
1, 3, 745 |
∴ So the LCM of the given numbers is 7 x 43 x 1 x 3 x 745 = 672735
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 301,903,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,903,745) = 1
common factors(in case of two or more numbers have common factors) = 301
GCF(301,903,745) x common factors =1 x 301 = 301
LCM(301,903,745) = ( 301 × 903 × 745 ) / 301
LCM(301,903,745) = 202493235 / 301
LCM(301,903,745) = 672735
Lets's calculate GCF of 27,37,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672735/1
Therefore the LCM of Fractions 301/27,903/37,745/177 is 672735
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
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 27,37,177 . The biggest common factor number is the GCF number.
So the greatest common factor 27,37,177 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 301/27, 903/37, 745/177?
Answer: LCM of Numerators as per given numbers 301/27, 903/37, 745/177 is
LCM of Numerators i.e. for 301,903,745 is 672735
GCF of denominators i.e. for 27,37,177 is 1.
Thus, LCM of Fractions is 672735.Finally, LCM of Fractions for 301/27, 903/37, 745/177 is 672735.