Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 157/55, 859/39, 882/391 quickly i.e. 118949166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 157/55, 859/39, 882/391 is 118949166.
LCM(157/55, 859/39, 882/391) = 118949166
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 157/55,859/39,882/391
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 157,859,882
Least Common Multiple of Numerators i.e. LCM of 157,859,882 is 118949166.
GCF of Denominators means GCF of 55,39,391 as per the given fractions.
GCF of 55,39,391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 157,859,882
Given numbers has no common factors except 1. So, there LCM is their product i.e 118949166
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 157,859,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,859,882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,859,882) x common factors =1 x 1 = 1
LCM(157,859,882) = ( 157 × 859 × 882 ) / 1
LCM(157,859,882) = 118949166 / 1
LCM(157,859,882) = 118949166
Lets's calculate GCF of 55,39,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118949166/1
Therefore the LCM of Fractions 157/55,859/39,882/391 is 118949166
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 55,39,391 . The biggest common factor number is the GCF number.
So the greatest common factor 55,39,391 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 157/55, 859/39, 882/391?
Answer: LCM of Numerators as per given numbers 157/55, 859/39, 882/391 is
LCM of Numerators i.e. for 157,859,882 is 118949166
GCF of denominators i.e. for 55,39,391 is 1.
Thus, LCM of Fractions is 118949166.Finally, LCM of Fractions for 157/55, 859/39, 882/391 is 118949166.