Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 127/86, 190/21, 169/100 quickly i.e. 4077970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 127/86, 190/21, 169/100 is 4077970.
LCM(127/86, 190/21, 169/100) = 4077970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 127/86,190/21,169/100
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 127,190,169
Least Common Multiple of Numerators i.e. LCM of 127,190,169 is 4077970.
GCF of Denominators means GCF of 86,21,100 as per the given fractions.
GCF of 86,21,100 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 127,190,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 4077970
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 127,190,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,190,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,190,169) x common factors =1 x 1 = 1
LCM(127,190,169) = ( 127 × 190 × 169 ) / 1
LCM(127,190,169) = 4077970 / 1
LCM(127,190,169) = 4077970
Lets's calculate GCF of 86,21,100
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4077970/1
Therefore the LCM of Fractions 127/86,190/21,169/100 is 4077970
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Greatest Common Factor
We found the factors 86,21,100 . The biggest common factor number is the GCF number.
So the greatest common factor 86,21,100 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 127/86, 190/21, 169/100?
Answer: LCM of Numerators as per given numbers 127/86, 190/21, 169/100 is
LCM of Numerators i.e. for 127,190,169 is 4077970
GCF of denominators i.e. for 86,21,100 is 1.
Thus, LCM of Fractions is 4077970.Finally, LCM of Fractions for 127/86, 190/21, 169/100 is 4077970.