Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 720/80, 370/2110 quickly i.e. 2664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 720/80, 370/2110 is 2664.
LCM(720/80, 370/2110) = 2664
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 720/80,370/2110
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 720,370
Least Common Multiple of Numerators i.e. LCM of 720,370 is 26640.
GCF of Denominators means GCF of 80,2110 as per the given fractions.
GCF of 80,2110 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 720,370
2 | 720, 370 |
5 | 360, 185 |
72, 37 |
∴ So the LCM of the given numbers is 2 x 5 x 72 x 37 = 26640
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 720,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,370) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(720,370) x common factors =10 x 1 = 10
LCM(720,370) = ( 720 × 370 ) / 10
LCM(720,370) = 266400 / 10
LCM(720,370) = 26640
Lets's calculate GCF of 80,2110
2 | 80, 2110 |
5 | 40, 1055 |
8, 211 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26640/10
Therefore the LCM of Fractions 720/80,370/2110 is 2664
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 2110
List of positive integer factors of 2110 that divides 2110 without a remainder.
1,2,5,10,211,422,1055,2110
Greatest Common Factor
We found the factors 80,2110 . The biggest common factor number is the GCF number.
So the greatest common factor 80,2110 is 10.
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 720/80, 370/2110?
Answer: LCM of Numerators as per given numbers 720/80, 370/2110 is
LCM of Numerators i.e. for 720,370 is 26640
GCF of denominators i.e. for 80,2110 is 10.
Thus, LCM of Fractions is 2664.Finally, LCM of Fractions for 720/80, 370/2110 is 2664.