Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/277, 93/321, 903/664 quickly i.e. 699825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/277, 93/321, 903/664 is 699825.
LCM(75/277, 93/321, 903/664) = 699825
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/277,93/321,903/664
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 75,93,903
Least Common Multiple of Numerators i.e. LCM of 75,93,903 is 699825.
GCF of Denominators means GCF of 277,321,664 as per the given fractions.
GCF of 277,321,664 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,93,903
3 | 75, 93, 903 |
25, 31, 301 |
∴ So the LCM of the given numbers is 3 x 25 x 31 x 301 = 699825
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 75,93,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,93,903) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(75,93,903) x common factors =3 x 3 = 9
LCM(75,93,903) = ( 75 × 93 × 903 ) / 9
LCM(75,93,903) = 6298425 / 9
LCM(75,93,903) = 699825
Lets's calculate GCF of 277,321,664
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699825/1
Therefore the LCM of Fractions 75/277,93/321,903/664 is 699825
Factors of 277
List of positive integer factors of 277 that divides 277 without a remainder.
1,277
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1,3,107,321
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 277,321,664 . The biggest common factor number is the GCF number.
So the greatest common factor 277,321,664 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 75/277, 93/321, 903/664?
Answer: LCM of Numerators as per given numbers 75/277, 93/321, 903/664 is
LCM of Numerators i.e. for 75,93,903 is 699825
GCF of denominators i.e. for 277,321,664 is 1.
Thus, LCM of Fractions is 699825.Finally, LCM of Fractions for 75/277, 93/321, 903/664 is 699825.