Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1792/888, 1696/540 quickly i.e. 94976/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1792/888, 1696/540 is 94976/12.
LCM(1792/888, 1696/540) = 94976/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1792/888,1696/540
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 1792,1696
Least Common Multiple of Numerators i.e. LCM of 1792,1696 is 94976.
GCF of Denominators means GCF of 888,540 as per the given fractions.
GCF of 888,540 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1792,1696
2 | 1792, 1696 |
2 | 896, 848 |
2 | 448, 424 |
2 | 224, 212 |
2 | 112, 106 |
56, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 56 x 53 = 94976
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 1792,1696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1792,1696) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(1792,1696) x common factors =32 x 1 = 32
LCM(1792,1696) = ( 1792 × 1696 ) / 32
LCM(1792,1696) = 3039232 / 32
LCM(1792,1696) = 94976
Lets's calculate GCF of 888,540
2 | 888, 540 |
2 | 444, 270 |
3 | 222, 135 |
74, 45 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94976/12
Therefore the LCM of Fractions 1792/888,1696/540 is 94976/12
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors 888,540 . The biggest common factor number is the GCF number.
So the greatest common factor 888,540 is 12.
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 1792/888, 1696/540?
Answer: LCM of Numerators as per given numbers 1792/888, 1696/540 is
LCM of Numerators i.e. for 1792,1696 is 94976
GCF of denominators i.e. for 888,540 is 12.
Thus, LCM of Fractions is 94976/12.Finally, LCM of Fractions for 1792/888, 1696/540 is 94976/12.