Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/118, 78/861, 270/727 quickly i.e. 38610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/118, 78/861, 270/727 is 38610.
LCM(55/118, 78/861, 270/727) = 38610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/118,78/861,270/727
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 55,78,270
Least Common Multiple of Numerators i.e. LCM of 55,78,270 is 38610.
GCF of Denominators means GCF of 118,861,727 as per the given fractions.
GCF of 118,861,727 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,78,270
2 | 55, 78, 270 |
3 | 55, 39, 135 |
5 | 55, 13, 45 |
11, 13, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 13 x 9 = 38610
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 55,78,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,78,270) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(55,78,270) x common factors =1 x 30 = 30
LCM(55,78,270) = ( 55 × 78 × 270 ) / 30
LCM(55,78,270) = 1158300 / 30
LCM(55,78,270) = 38610
Lets's calculate GCF of 118,861,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38610/1
Therefore the LCM of Fractions 55/118,78/861,270/727 is 38610
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Greatest Common Factor
We found the factors 118,861,727 . The biggest common factor number is the GCF number.
So the greatest common factor 118,861,727 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 55/118, 78/861, 270/727?
Answer: LCM of Numerators as per given numbers 55/118, 78/861, 270/727 is
LCM of Numerators i.e. for 55,78,270 is 38610
GCF of denominators i.e. for 118,861,727 is 1.
Thus, LCM of Fractions is 38610.Finally, LCM of Fractions for 55/118, 78/861, 270/727 is 38610.