Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 908/480, 7856/1742 quickly i.e. 891656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 908/480, 7856/1742 is 891656.
LCM(908/480, 7856/1742) = 891656
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 908/480,7856/1742
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 908,7856
Least Common Multiple of Numerators i.e. LCM of 908,7856 is 1783312.
GCF of Denominators means GCF of 480,1742 as per the given fractions.
GCF of 480,1742 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 908,7856
2 | 908, 7856 |
2 | 454, 3928 |
227, 1964 |
∴ So the LCM of the given numbers is 2 x 2 x 227 x 1964 = 1783312
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 908,7856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,7856) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(908,7856) x common factors =4 x 1 = 4
LCM(908,7856) = ( 908 × 7856 ) / 4
LCM(908,7856) = 7133248 / 4
LCM(908,7856) = 1783312
Lets's calculate GCF of 480,1742
2 | 480, 1742 |
240, 871 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1783312/2
Therefore the LCM of Fractions 908/480,7856/1742 is 891656
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Factors of 1742
List of positive integer factors of 1742 that divides 1742 without a remainder.
1,2,13,26,67,134,871,1742
Greatest Common Factor
We found the factors 480,1742 . The biggest common factor number is the GCF number.
So the greatest common factor 480,1742 is 2.
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 908/480, 7856/1742?
Answer: LCM of Numerators as per given numbers 908/480, 7856/1742 is
LCM of Numerators i.e. for 908,7856 is 1783312
GCF of denominators i.e. for 480,1742 is 2.
Thus, LCM of Fractions is 891656.Finally, LCM of Fractions for 908/480, 7856/1742 is 891656.