Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/63, 39/939, 212/912 quickly i.e. 79924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/63, 39/939, 212/912 is 79924.
LCM(87/63, 39/939, 212/912) = 79924
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/63,39/939,212/912
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 87,39,212
Least Common Multiple of Numerators i.e. LCM of 87,39,212 is 239772.
GCF of Denominators means GCF of 63,939,912 as per the given fractions.
GCF of 63,939,912 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,39,212
3 | 87, 39, 212 |
29, 13, 212 |
∴ So the LCM of the given numbers is 3 x 29 x 13 x 212 = 239772
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 87,39,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,39,212) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,39,212) x common factors =1 x 3 = 3
LCM(87,39,212) = ( 87 × 39 × 212 ) / 3
LCM(87,39,212) = 719316 / 3
LCM(87,39,212) = 239772
Lets's calculate GCF of 63,939,912
3 | 63, 939, 912 |
21, 313, 304 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239772/3
Therefore the LCM of Fractions 87/63,39/939,212/912 is 79924
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 63,939,912 . The biggest common factor number is the GCF number.
So the greatest common factor 63,939,912 is 3.
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 87/63, 39/939, 212/912?
Answer: LCM of Numerators as per given numbers 87/63, 39/939, 212/912 is
LCM of Numerators i.e. for 87,39,212 is 239772
GCF of denominators i.e. for 63,939,912 is 3.
Thus, LCM of Fractions is 79924.Finally, LCM of Fractions for 87/63, 39/939, 212/912 is 79924.