Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 276/136, 1367/142 quickly i.e. 188646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 276/136, 1367/142 is 188646.
LCM(276/136, 1367/142) = 188646
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 276/136,1367/142
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 276,1367
Least Common Multiple of Numerators i.e. LCM of 276,1367 is 377292.
GCF of Denominators means GCF of 136,142 as per the given fractions.
GCF of 136,142 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 276,1367
Given numbers has no common factors except 1. So, there LCM is their product i.e 377292
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 276,1367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,1367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(276,1367) x common factors =1 x 1 = 1
LCM(276,1367) = ( 276 × 1367 ) / 1
LCM(276,1367) = 377292 / 1
LCM(276,1367) = 377292
Lets's calculate GCF of 136,142
2 | 136, 142 |
68, 71 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377292/2
Therefore the LCM of Fractions 276/136,1367/142 is 188646
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 136,142 . The biggest common factor number is the GCF number.
So the greatest common factor 136,142 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 276/136, 1367/142?
Answer: LCM of Numerators as per given numbers 276/136, 1367/142 is
LCM of Numerators i.e. for 276,1367 is 377292
GCF of denominators i.e. for 136,142 is 2.
Thus, LCM of Fractions is 188646.Finally, LCM of Fractions for 276/136, 1367/142 is 188646.