Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 896/158, 908/608 quickly i.e. 101696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 896/158, 908/608 is 101696.
LCM(896/158, 908/608) = 101696
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 896/158,908/608
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 896,908
Least Common Multiple of Numerators i.e. LCM of 896,908 is 203392.
GCF of Denominators means GCF of 158,608 as per the given fractions.
GCF of 158,608 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 896,908
2 | 896, 908 |
2 | 448, 454 |
224, 227 |
∴ So the LCM of the given numbers is 2 x 2 x 224 x 227 = 203392
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 896,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,908) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(896,908) x common factors =4 x 1 = 4
LCM(896,908) = ( 896 × 908 ) / 4
LCM(896,908) = 813568 / 4
LCM(896,908) = 203392
Lets's calculate GCF of 158,608
2 | 158, 608 |
79, 304 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203392/2
Therefore the LCM of Fractions 896/158,908/608 is 101696
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 158,608 . The biggest common factor number is the GCF number.
So the greatest common factor 158,608 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 896/158, 908/608?
Answer: LCM of Numerators as per given numbers 896/158, 908/608 is
LCM of Numerators i.e. for 896,908 is 203392
GCF of denominators i.e. for 158,608 is 2.
Thus, LCM of Fractions is 101696.Finally, LCM of Fractions for 896/158, 908/608 is 101696.