Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/110, 13/912, 137/255 quickly i.e. 154947 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/110, 13/912, 137/255 is 154947.
LCM(87/110, 13/912, 137/255) = 154947
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/110,13/912,137/255
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 87,13,137
Least Common Multiple of Numerators i.e. LCM of 87,13,137 is 154947.
GCF of Denominators means GCF of 110,912,255 as per the given fractions.
GCF of 110,912,255 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,13,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 154947
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 87,13,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,13,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,13,137) x common factors =1 x 1 = 1
LCM(87,13,137) = ( 87 × 13 × 137 ) / 1
LCM(87,13,137) = 154947 / 1
LCM(87,13,137) = 154947
Lets's calculate GCF of 110,912,255
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154947/1
Therefore the LCM of Fractions 87/110,13/912,137/255 is 154947
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 110,912,255 . The biggest common factor number is the GCF number.
So the greatest common factor 110,912,255 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 87/110, 13/912, 137/255?
Answer: LCM of Numerators as per given numbers 87/110, 13/912, 137/255 is
LCM of Numerators i.e. for 87,13,137 is 154947
GCF of denominators i.e. for 110,912,255 is 1.
Thus, LCM of Fractions is 154947.Finally, LCM of Fractions for 87/110, 13/912, 137/255 is 154947.