Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3179/240, 1810/206 quickly i.e. 2876995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3179/240, 1810/206 is 2876995.
LCM(3179/240, 1810/206) = 2876995
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3179/240,1810/206
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 3179,1810
Least Common Multiple of Numerators i.e. LCM of 3179,1810 is 5753990.
GCF of Denominators means GCF of 240,206 as per the given fractions.
GCF of 240,206 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3179,1810
Given numbers has no common factors except 1. So, there LCM is their product i.e 5753990
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 3179,1810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3179,1810) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3179,1810) x common factors =1 x 1 = 1
LCM(3179,1810) = ( 3179 × 1810 ) / 1
LCM(3179,1810) = 5753990 / 1
LCM(3179,1810) = 5753990
Lets's calculate GCF of 240,206
2 | 240, 206 |
120, 103 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5753990/2
Therefore the LCM of Fractions 3179/240,1810/206 is 2876995
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Greatest Common Factor
We found the factors 240,206 . The biggest common factor number is the GCF number.
So the greatest common factor 240,206 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 3179/240, 1810/206?
Answer: LCM of Numerators as per given numbers 3179/240, 1810/206 is
LCM of Numerators i.e. for 3179,1810 is 5753990
GCF of denominators i.e. for 240,206 is 2.
Thus, LCM of Fractions is 2876995.Finally, LCM of Fractions for 3179/240, 1810/206 is 2876995.