Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/848, 5112/6352 quickly i.e. 25560/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/848, 5112/6352 is 25560/16.
LCM(40/848, 5112/6352) = 25560/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/848,5112/6352
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 40,5112
Least Common Multiple of Numerators i.e. LCM of 40,5112 is 25560.
GCF of Denominators means GCF of 848,6352 as per the given fractions.
GCF of 848,6352 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,5112
2 | 40, 5112 |
2 | 20, 2556 |
2 | 10, 1278 |
5, 639 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 639 = 25560
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 40,5112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,5112) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(40,5112) x common factors =8 x 1 = 8
LCM(40,5112) = ( 40 × 5112 ) / 8
LCM(40,5112) = 204480 / 8
LCM(40,5112) = 25560
Lets's calculate GCF of 848,6352
2 | 848, 6352 |
2 | 424, 3176 |
2 | 212, 1588 |
2 | 106, 794 |
53, 397 |
∴ 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 = 25560/16
Therefore the LCM of Fractions 40/848,5112/6352 is 25560/16
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 6352
List of positive integer factors of 6352 that divides 6352 without a remainder.
1,2,4,8,16,397,794,1588,3176,6352
Greatest Common Factor
We found the factors 848,6352 . The biggest common factor number is the GCF number.
So the greatest common factor 848,6352 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 40/848, 5112/6352?
Answer: LCM of Numerators as per given numbers 40/848, 5112/6352 is
LCM of Numerators i.e. for 40,5112 is 25560
GCF of denominators i.e. for 848,6352 is 16.
Thus, LCM of Fractions is 25560/16.Finally, LCM of Fractions for 40/848, 5112/6352 is 25560/16.