Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 792/176, 208/976 quickly i.e. 1287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 792/176, 208/976 is 1287.
LCM(792/176, 208/976) = 1287
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 792/176,208/976
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 792,208
Least Common Multiple of Numerators i.e. LCM of 792,208 is 20592.
GCF of Denominators means GCF of 176,976 as per the given fractions.
GCF of 176,976 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 792,208
2 | 792, 208 |
2 | 396, 104 |
2 | 198, 52 |
99, 26 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 26 = 20592
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 792,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,208) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(792,208) x common factors =8 x 1 = 8
LCM(792,208) = ( 792 × 208 ) / 8
LCM(792,208) = 164736 / 8
LCM(792,208) = 20592
Lets's calculate GCF of 176,976
2 | 176, 976 |
2 | 88, 488 |
2 | 44, 244 |
2 | 22, 122 |
11, 61 |
∴ 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 = 20592/16
Therefore the LCM of Fractions 792/176,208/976 is 1287
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 176,976 . The biggest common factor number is the GCF number.
So the greatest common factor 176,976 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 792/176, 208/976?
Answer: LCM of Numerators as per given numbers 792/176, 208/976 is
LCM of Numerators i.e. for 792,208 is 20592
GCF of denominators i.e. for 176,976 is 16.
Thus, LCM of Fractions is 1287.Finally, LCM of Fractions for 792/176, 208/976 is 1287.