Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/168, 68/621, 859/221 quickly i.e. 1460300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/168, 68/621, 859/221 is 1460300.
LCM(25/168, 68/621, 859/221) = 1460300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/168,68/621,859/221
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 25,68,859
Least Common Multiple of Numerators i.e. LCM of 25,68,859 is 1460300.
GCF of Denominators means GCF of 168,621,221 as per the given fractions.
GCF of 168,621,221 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,68,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 1460300
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 25,68,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,68,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,68,859) x common factors =1 x 1 = 1
LCM(25,68,859) = ( 25 × 68 × 859 ) / 1
LCM(25,68,859) = 1460300 / 1
LCM(25,68,859) = 1460300
Lets's calculate GCF of 168,621,221
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1460300/1
Therefore the LCM of Fractions 25/168,68/621,859/221 is 1460300
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Greatest Common Factor
We found the factors 168,621,221 . The biggest common factor number is the GCF number.
So the greatest common factor 168,621,221 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 25/168, 68/621, 859/221?
Answer: LCM of Numerators as per given numbers 25/168, 68/621, 859/221 is
LCM of Numerators i.e. for 25,68,859 is 1460300
GCF of denominators i.e. for 168,621,221 is 1.
Thus, LCM of Fractions is 1460300.Finally, LCM of Fractions for 25/168, 68/621, 859/221 is 1460300.