Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7984/63, 4782/992 quickly i.e. 19089744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7984/63, 4782/992 is 19089744.
LCM(7984/63, 4782/992) = 19089744
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7984/63,4782/992
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 7984,4782
Least Common Multiple of Numerators i.e. LCM of 7984,4782 is 19089744.
GCF of Denominators means GCF of 63,992 as per the given fractions.
GCF of 63,992 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7984,4782
2 | 7984, 4782 |
3992, 2391 |
∴ So the LCM of the given numbers is 2 x 3992 x 2391 = 19089744
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 7984,4782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7984,4782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7984,4782) x common factors =2 x 1 = 2
LCM(7984,4782) = ( 7984 × 4782 ) / 2
LCM(7984,4782) = 38179488 / 2
LCM(7984,4782) = 19089744
Lets's calculate GCF of 63,992
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19089744/1
Therefore the LCM of Fractions 7984/63,4782/992 is 19089744
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 63,992 . The biggest common factor number is the GCF number.
So the greatest common factor 63,992 is 1.
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 7984/63, 4782/992?
Answer: LCM of Numerators as per given numbers 7984/63, 4782/992 is
LCM of Numerators i.e. for 7984,4782 is 19089744
GCF of denominators i.e. for 63,992 is 1.
Thus, LCM of Fractions is 19089744.Finally, LCM of Fractions for 7984/63, 4782/992 is 19089744.