Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3730/239, 2156/691 quickly i.e. 4020940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3730/239, 2156/691 is 4020940.
LCM(3730/239, 2156/691) = 4020940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3730/239,2156/691
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 3730,2156
Least Common Multiple of Numerators i.e. LCM of 3730,2156 is 4020940.
GCF of Denominators means GCF of 239,691 as per the given fractions.
GCF of 239,691 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3730,2156
2 | 3730, 2156 |
1865, 1078 |
∴ So the LCM of the given numbers is 2 x 1865 x 1078 = 4020940
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 3730,2156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3730,2156) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3730,2156) x common factors =2 x 1 = 2
LCM(3730,2156) = ( 3730 × 2156 ) / 2
LCM(3730,2156) = 8041880 / 2
LCM(3730,2156) = 4020940
Lets's calculate GCF of 239,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4020940/1
Therefore the LCM of Fractions 3730/239,2156/691 is 4020940
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Greatest Common Factor
We found the factors 239,691 . The biggest common factor number is the GCF number.
So the greatest common factor 239,691 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 3730/239, 2156/691?
Answer: LCM of Numerators as per given numbers 3730/239, 2156/691 is
LCM of Numerators i.e. for 3730,2156 is 4020940
GCF of denominators i.e. for 239,691 is 1.
Thus, LCM of Fractions is 4020940.Finally, LCM of Fractions for 3730/239, 2156/691 is 4020940.