Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/951, 592/123, 403/328 quickly i.e. 15984592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/951, 592/123, 403/328 is 15984592.
LCM(67/951, 592/123, 403/328) = 15984592
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/951,592/123,403/328
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 67,592,403
Least Common Multiple of Numerators i.e. LCM of 67,592,403 is 15984592.
GCF of Denominators means GCF of 951,123,328 as per the given fractions.
GCF of 951,123,328 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,592,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 15984592
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 67,592,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,592,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,592,403) x common factors =1 x 1 = 1
LCM(67,592,403) = ( 67 × 592 × 403 ) / 1
LCM(67,592,403) = 15984592 / 1
LCM(67,592,403) = 15984592
Lets's calculate GCF of 951,123,328
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15984592/1
Therefore the LCM of Fractions 67/951,592/123,403/328 is 15984592
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Greatest Common Factor
We found the factors 951,123,328 . The biggest common factor number is the GCF number.
So the greatest common factor 951,123,328 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 67/951, 592/123, 403/328?
Answer: LCM of Numerators as per given numbers 67/951, 592/123, 403/328 is
LCM of Numerators i.e. for 67,592,403 is 15984592
GCF of denominators i.e. for 951,123,328 is 1.
Thus, LCM of Fractions is 15984592.Finally, LCM of Fractions for 67/951, 592/123, 403/328 is 15984592.