Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/341, 79/187 quickly i.e. 4029/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/341, 79/187 is 4029/11.
LCM(51/341, 79/187) = 4029/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/341,79/187
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 51,79
Least Common Multiple of Numerators i.e. LCM of 51,79 is 4029.
GCF of Denominators means GCF of 341,187 as per the given fractions.
GCF of 341,187 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 4029
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 51,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,79) x common factors =1 x 1 = 1
LCM(51,79) = ( 51 × 79 ) / 1
LCM(51,79) = 4029 / 1
LCM(51,79) = 4029
Lets's calculate GCF of 341,187
11 | 341, 187 |
31, 17 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4029/11
Therefore the LCM of Fractions 51/341,79/187 is 4029/11
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 341,187 . The biggest common factor number is the GCF number.
So the greatest common factor 341,187 is 11.
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 51/341, 79/187?
Answer: LCM of Numerators as per given numbers 51/341, 79/187 is
LCM of Numerators i.e. for 51,79 is 4029
GCF of denominators i.e. for 341,187 is 11.
Thus, LCM of Fractions is 4029/11.Finally, LCM of Fractions for 51/341, 79/187 is 4029/11.