Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/173, 81/539, 946/377 quickly i.e. 383130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/173, 81/539, 946/377 is 383130.
LCM(55/173, 81/539, 946/377) = 383130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/173,81/539,946/377
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 55,81,946
Least Common Multiple of Numerators i.e. LCM of 55,81,946 is 383130.
GCF of Denominators means GCF of 173,539,377 as per the given fractions.
GCF of 173,539,377 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,81,946
11 | 55, 81, 946 |
5, 81, 86 |
∴ So the LCM of the given numbers is 11 x 5 x 81 x 86 = 383130
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 55,81,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,81,946) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(55,81,946) x common factors =1 x 11 = 11
LCM(55,81,946) = ( 55 × 81 × 946 ) / 11
LCM(55,81,946) = 4214430 / 11
LCM(55,81,946) = 383130
Lets's calculate GCF of 173,539,377
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383130/1
Therefore the LCM of Fractions 55/173,81/539,946/377 is 383130
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Greatest Common Factor
We found the factors 173,539,377 . The biggest common factor number is the GCF number.
So the greatest common factor 173,539,377 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 55/173, 81/539, 946/377?
Answer: LCM of Numerators as per given numbers 55/173, 81/539, 946/377 is
LCM of Numerators i.e. for 55,81,946 is 383130
GCF of denominators i.e. for 173,539,377 is 1.
Thus, LCM of Fractions is 383130.Finally, LCM of Fractions for 55/173, 81/539, 946/377 is 383130.