Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 973/48, 655/80, 275/507 quickly i.e. 35052325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 973/48, 655/80, 275/507 is 35052325.
LCM(973/48, 655/80, 275/507) = 35052325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 973/48,655/80,275/507
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 973,655,275
Least Common Multiple of Numerators i.e. LCM of 973,655,275 is 35052325.
GCF of Denominators means GCF of 48,80,507 as per the given fractions.
GCF of 48,80,507 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 973,655,275
5 | 973, 655, 275 |
973, 131, 55 |
∴ So the LCM of the given numbers is 5 x 973 x 131 x 55 = 35052325
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 973,655,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,655,275) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(973,655,275) x common factors =1 x 5 = 5
LCM(973,655,275) = ( 973 × 655 × 275 ) / 5
LCM(973,655,275) = 175261625 / 5
LCM(973,655,275) = 35052325
Lets's calculate GCF of 48,80,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35052325/1
Therefore the LCM of Fractions 973/48,655/80,275/507 is 35052325
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 48,80,507 . The biggest common factor number is the GCF number.
So the greatest common factor 48,80,507 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 973/48, 655/80, 275/507?
Answer: LCM of Numerators as per given numbers 973/48, 655/80, 275/507 is
LCM of Numerators i.e. for 973,655,275 is 35052325
GCF of denominators i.e. for 48,80,507 is 1.
Thus, LCM of Fractions is 35052325.Finally, LCM of Fractions for 973/48, 655/80, 275/507 is 35052325.