Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 692/112, 796/768 quickly i.e. 137708/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 692/112, 796/768 is 137708/16.
LCM(692/112, 796/768) = 137708/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 692/112,796/768
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 692,796
Least Common Multiple of Numerators i.e. LCM of 692,796 is 137708.
GCF of Denominators means GCF of 112,768 as per the given fractions.
GCF of 112,768 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 692,796
2 | 692, 796 |
2 | 346, 398 |
173, 199 |
∴ So the LCM of the given numbers is 2 x 2 x 173 x 199 = 137708
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 692,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,796) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(692,796) x common factors =4 x 1 = 4
LCM(692,796) = ( 692 × 796 ) / 4
LCM(692,796) = 550832 / 4
LCM(692,796) = 137708
Lets's calculate GCF of 112,768
2 | 112, 768 |
2 | 56, 384 |
2 | 28, 192 |
2 | 14, 96 |
7, 48 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137708/16
Therefore the LCM of Fractions 692/112,796/768 is 137708/16
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 768
List of positive integer factors of 768 that divides 768 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768
Greatest Common Factor
We found the factors 112,768 . The biggest common factor number is the GCF number.
So the greatest common factor 112,768 is 16.
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 692/112, 796/768?
Answer: LCM of Numerators as per given numbers 692/112, 796/768 is
LCM of Numerators i.e. for 692,796 is 137708
GCF of denominators i.e. for 112,768 is 16.
Thus, LCM of Fractions is 137708/16.Finally, LCM of Fractions for 692/112, 796/768 is 137708/16.