Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 848/448, 5428/336 quickly i.e. 1150736/112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 848/448, 5428/336 is 1150736/112.
LCM(848/448, 5428/336) = 1150736/112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 848/448,5428/336
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 848,5428
Least Common Multiple of Numerators i.e. LCM of 848,5428 is 1150736.
GCF of Denominators means GCF of 448,336 as per the given fractions.
GCF of 448,336 is 112 as it is the largest common factor for these numbers.
Lets's calculate LCM of 848,5428
2 | 848, 5428 |
2 | 424, 2714 |
212, 1357 |
∴ So the LCM of the given numbers is 2 x 2 x 212 x 1357 = 1150736
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 848,5428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(848,5428) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(848,5428) x common factors =4 x 1 = 4
LCM(848,5428) = ( 848 × 5428 ) / 4
LCM(848,5428) = 4602944 / 4
LCM(848,5428) = 1150736
Lets's calculate GCF of 448,336
2 | 448, 336 |
2 | 224, 168 |
2 | 112, 84 |
2 | 56, 42 |
7 | 28, 21 |
4, 3 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 7 = 112
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1150736/112
Therefore the LCM of Fractions 848/448,5428/336 is 1150736/112
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 448,336 . The biggest common factor number is the GCF number.
So the greatest common factor 448,336 is 112.
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 848/448, 5428/336?
Answer: LCM of Numerators as per given numbers 848/448, 5428/336 is
LCM of Numerators i.e. for 848,5428 is 1150736
GCF of denominators i.e. for 448,336 is 112.
Thus, LCM of Fractions is 1150736/112.Finally, LCM of Fractions for 848/448, 5428/336 is 1150736/112.