Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2060/220, 6920/160 quickly i.e. 35638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2060/220, 6920/160 is 35638.
LCM(2060/220, 6920/160) = 35638
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2060/220,6920/160
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 2060,6920
Least Common Multiple of Numerators i.e. LCM of 2060,6920 is 712760.
GCF of Denominators means GCF of 220,160 as per the given fractions.
GCF of 220,160 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2060,6920
2 | 2060, 6920 |
2 | 1030, 3460 |
5 | 515, 1730 |
103, 346 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 103 x 346 = 712760
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 2060,6920 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2060,6920) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(2060,6920) x common factors =20 x 1 = 20
LCM(2060,6920) = ( 2060 × 6920 ) / 20
LCM(2060,6920) = 14255200 / 20
LCM(2060,6920) = 712760
Lets's calculate GCF of 220,160
2 | 220, 160 |
2 | 110, 80 |
5 | 55, 40 |
11, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 712760/20
Therefore the LCM of Fractions 2060/220,6920/160 is 35638
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 220,160 . The biggest common factor number is the GCF number.
So the greatest common factor 220,160 is 20.
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 2060/220, 6920/160?
Answer: LCM of Numerators as per given numbers 2060/220, 6920/160 is
LCM of Numerators i.e. for 2060,6920 is 712760
GCF of denominators i.e. for 220,160 is 20.
Thus, LCM of Fractions is 35638.Finally, LCM of Fractions for 2060/220, 6920/160 is 35638.