Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7843/92, 4433/134 quickly i.e. 101959/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7843/92, 4433/134 is 101959/2.
LCM(7843/92, 4433/134) = 101959/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7843/92,4433/134
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 7843,4433
Least Common Multiple of Numerators i.e. LCM of 7843,4433 is 101959.
GCF of Denominators means GCF of 92,134 as per the given fractions.
GCF of 92,134 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7843,4433
11 | 7843, 4433 |
31 | 713, 403 |
23, 13 |
∴ So the LCM of the given numbers is 11 x 31 x 23 x 13 = 101959
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 7843,4433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7843,4433) = 341
common factors(in case of two or more numbers have common factors) = 1
GCF(7843,4433) x common factors =341 x 1 = 341
LCM(7843,4433) = ( 7843 × 4433 ) / 341
LCM(7843,4433) = 34768019 / 341
LCM(7843,4433) = 101959
Lets's calculate GCF of 92,134
2 | 92, 134 |
46, 67 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101959/2
Therefore the LCM of Fractions 7843/92,4433/134 is 101959/2
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 92,134 . The biggest common factor number is the GCF number.
So the greatest common factor 92,134 is 2.
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 7843/92, 4433/134?
Answer: LCM of Numerators as per given numbers 7843/92, 4433/134 is
LCM of Numerators i.e. for 7843,4433 is 101959
GCF of denominators i.e. for 92,134 is 2.
Thus, LCM of Fractions is 101959/2.Finally, LCM of Fractions for 7843/92, 4433/134 is 101959/2.