Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/923, 353/477, 565/146 quickly i.e. 15357265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/923, 353/477, 565/146 is 15357265.
LCM(77/923, 353/477, 565/146) = 15357265
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/923,353/477,565/146
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 77,353,565
Least Common Multiple of Numerators i.e. LCM of 77,353,565 is 15357265.
GCF of Denominators means GCF of 923,477,146 as per the given fractions.
GCF of 923,477,146 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,353,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 15357265
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 77,353,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,353,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,353,565) x common factors =1 x 1 = 1
LCM(77,353,565) = ( 77 × 353 × 565 ) / 1
LCM(77,353,565) = 15357265 / 1
LCM(77,353,565) = 15357265
Lets's calculate GCF of 923,477,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15357265/1
Therefore the LCM of Fractions 77/923,353/477,565/146 is 15357265
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1,3,9,53,159,477
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 923,477,146 . The biggest common factor number is the GCF number.
So the greatest common factor 923,477,146 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 77/923, 353/477, 565/146?
Answer: LCM of Numerators as per given numbers 77/923, 353/477, 565/146 is
LCM of Numerators i.e. for 77,353,565 is 15357265
GCF of denominators i.e. for 923,477,146 is 1.
Thus, LCM of Fractions is 15357265.Finally, LCM of Fractions for 77/923, 353/477, 565/146 is 15357265.