Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/38, 17/48, 974/867 quickly i.e. 1142502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/38, 17/48, 974/867 is 1142502.
LCM(69/38, 17/48, 974/867) = 1142502
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/38,17/48,974/867
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 69,17,974
Least Common Multiple of Numerators i.e. LCM of 69,17,974 is 1142502.
GCF of Denominators means GCF of 38,48,867 as per the given fractions.
GCF of 38,48,867 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,17,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 1142502
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 69,17,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,17,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,17,974) x common factors =1 x 1 = 1
LCM(69,17,974) = ( 69 × 17 × 974 ) / 1
LCM(69,17,974) = 1142502 / 1
LCM(69,17,974) = 1142502
Lets's calculate GCF of 38,48,867
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1142502/1
Therefore the LCM of Fractions 69/38,17/48,974/867 is 1142502
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
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 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Greatest Common Factor
We found the factors 38,48,867 . The biggest common factor number is the GCF number.
So the greatest common factor 38,48,867 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 69/38, 17/48, 974/867?
Answer: LCM of Numerators as per given numbers 69/38, 17/48, 974/867 is
LCM of Numerators i.e. for 69,17,974 is 1142502
GCF of denominators i.e. for 38,48,867 is 1.
Thus, LCM of Fractions is 1142502.Finally, LCM of Fractions for 69/38, 17/48, 974/867 is 1142502.