Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2142/182, 8154/7283 quickly i.e. 970326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2142/182, 8154/7283 is 970326.
LCM(2142/182, 8154/7283) = 970326
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2142/182,8154/7283
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 2142,8154
Least Common Multiple of Numerators i.e. LCM of 2142,8154 is 970326.
GCF of Denominators means GCF of 182,7283 as per the given fractions.
GCF of 182,7283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2142,8154
2 | 2142, 8154 |
3 | 1071, 4077 |
3 | 357, 1359 |
119, 453 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 119 x 453 = 970326
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 2142,8154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2142,8154) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(2142,8154) x common factors =18 x 1 = 18
LCM(2142,8154) = ( 2142 × 8154 ) / 18
LCM(2142,8154) = 17465868 / 18
LCM(2142,8154) = 970326
Lets's calculate GCF of 182,7283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 970326/1
Therefore the LCM of Fractions 2142/182,8154/7283 is 970326
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 7283
List of positive integer factors of 7283 that divides 7283 without a remainder.
1,7283
Greatest Common Factor
We found the factors 182,7283 . The biggest common factor number is the GCF number.
So the greatest common factor 182,7283 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 2142/182, 8154/7283?
Answer: LCM of Numerators as per given numbers 2142/182, 8154/7283 is
LCM of Numerators i.e. for 2142,8154 is 970326
GCF of denominators i.e. for 182,7283 is 1.
Thus, LCM of Fractions is 970326.Finally, LCM of Fractions for 2142/182, 8154/7283 is 970326.