Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8632/12, 7432/197 quickly i.e. 8019128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8632/12, 7432/197 is 8019128.
LCM(8632/12, 7432/197) = 8019128
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8632/12,7432/197
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 8632,7432
Least Common Multiple of Numerators i.e. LCM of 8632,7432 is 8019128.
GCF of Denominators means GCF of 12,197 as per the given fractions.
GCF of 12,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8632,7432
2 | 8632, 7432 |
2 | 4316, 3716 |
2 | 2158, 1858 |
1079, 929 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1079 x 929 = 8019128
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 8632,7432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8632,7432) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(8632,7432) x common factors =8 x 1 = 8
LCM(8632,7432) = ( 8632 × 7432 ) / 8
LCM(8632,7432) = 64153024 / 8
LCM(8632,7432) = 8019128
Lets's calculate GCF of 12,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8019128/1
Therefore the LCM of Fractions 8632/12,7432/197 is 8019128
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 12,197 . The biggest common factor number is the GCF number.
So the greatest common factor 12,197 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 8632/12, 7432/197?
Answer: LCM of Numerators as per given numbers 8632/12, 7432/197 is
LCM of Numerators i.e. for 8632,7432 is 8019128
GCF of denominators i.e. for 12,197 is 1.
Thus, LCM of Fractions is 8019128.Finally, LCM of Fractions for 8632/12, 7432/197 is 8019128.