Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 283/76, 442/26, 240/194 quickly i.e. 7505160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 283/76, 442/26, 240/194 is 7505160.
LCM(283/76, 442/26, 240/194) = 7505160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 283/76,442/26,240/194
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 283,442,240
Least Common Multiple of Numerators i.e. LCM of 283,442,240 is 15010320.
GCF of Denominators means GCF of 76,26,194 as per the given fractions.
GCF of 76,26,194 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 283,442,240
2 | 283, 442, 240 |
283, 221, 120 |
∴ So the LCM of the given numbers is 2 x 283 x 221 x 120 = 15010320
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 283,442,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,442,240) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(283,442,240) x common factors =1 x 2 = 2
LCM(283,442,240) = ( 283 × 442 × 240 ) / 2
LCM(283,442,240) = 30020640 / 2
LCM(283,442,240) = 15010320
Lets's calculate GCF of 76,26,194
2 | 76, 26, 194 |
38, 13, 97 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15010320/2
Therefore the LCM of Fractions 283/76,442/26,240/194 is 7505160
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Greatest Common Factor
We found the factors 76,26,194 . The biggest common factor number is the GCF number.
So the greatest common factor 76,26,194 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 283/76, 442/26, 240/194?
Answer: LCM of Numerators as per given numbers 283/76, 442/26, 240/194 is
LCM of Numerators i.e. for 283,442,240 is 15010320
GCF of denominators i.e. for 76,26,194 is 2.
Thus, LCM of Fractions is 7505160.Finally, LCM of Fractions for 283/76, 442/26, 240/194 is 7505160.