Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 386/885, 4362/7970 quickly i.e. 841866/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 386/885, 4362/7970 is 841866/5.
LCM(386/885, 4362/7970) = 841866/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 386/885,4362/7970
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 386,4362
Least Common Multiple of Numerators i.e. LCM of 386,4362 is 841866.
GCF of Denominators means GCF of 885,7970 as per the given fractions.
GCF of 885,7970 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 386,4362
2 | 386, 4362 |
193, 2181 |
∴ So the LCM of the given numbers is 2 x 193 x 2181 = 841866
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 386,4362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,4362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,4362) x common factors =2 x 1 = 2
LCM(386,4362) = ( 386 × 4362 ) / 2
LCM(386,4362) = 1683732 / 2
LCM(386,4362) = 841866
Lets's calculate GCF of 885,7970
5 | 885, 7970 |
177, 1594 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 841866/5
Therefore the LCM of Fractions 386/885,4362/7970 is 841866/5
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 7970
List of positive integer factors of 7970 that divides 7970 without a remainder.
1,2,5,10,797,1594,3985,7970
Greatest Common Factor
We found the factors 885,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 885,7970 is 5.
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 386/885, 4362/7970?
Answer: LCM of Numerators as per given numbers 386/885, 4362/7970 is
LCM of Numerators i.e. for 386,4362 is 841866
GCF of denominators i.e. for 885,7970 is 5.
Thus, LCM of Fractions is 841866/5.Finally, LCM of Fractions for 386/885, 4362/7970 is 841866/5.