Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 210/22, 739/2108 quickly i.e. 77595 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 210/22, 739/2108 is 77595.
LCM(210/22, 739/2108) = 77595
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 210/22,739/2108
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 210,739
Least Common Multiple of Numerators i.e. LCM of 210,739 is 155190.
GCF of Denominators means GCF of 22,2108 as per the given fractions.
GCF of 22,2108 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 210,739
Given numbers has no common factors except 1. So, there LCM is their product i.e 155190
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 210,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(210,739) x common factors =1 x 1 = 1
LCM(210,739) = ( 210 × 739 ) / 1
LCM(210,739) = 155190 / 1
LCM(210,739) = 155190
Lets's calculate GCF of 22,2108
2 | 22, 2108 |
11, 1054 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155190/2
Therefore the LCM of Fractions 210/22,739/2108 is 77595
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 2108
List of positive integer factors of 2108 that divides 2108 without a remainder.
1,2,4,17,31,34,62,68,124,527,1054,2108
Greatest Common Factor
We found the factors 22,2108 . The biggest common factor number is the GCF number.
So the greatest common factor 22,2108 is 2.
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 210/22, 739/2108?
Answer: LCM of Numerators as per given numbers 210/22, 739/2108 is
LCM of Numerators i.e. for 210,739 is 155190
GCF of denominators i.e. for 22,2108 is 2.
Thus, LCM of Fractions is 77595.Finally, LCM of Fractions for 210/22, 739/2108 is 77595.