Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 920/756, 3885/1853 quickly i.e. 714840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 920/756, 3885/1853 is 714840.
LCM(920/756, 3885/1853) = 714840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 920/756,3885/1853
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 920,3885
Least Common Multiple of Numerators i.e. LCM of 920,3885 is 714840.
GCF of Denominators means GCF of 756,1853 as per the given fractions.
GCF of 756,1853 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 920,3885
5 | 920, 3885 |
184, 777 |
∴ So the LCM of the given numbers is 5 x 184 x 777 = 714840
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 920,3885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,3885) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(920,3885) x common factors =5 x 1 = 5
LCM(920,3885) = ( 920 × 3885 ) / 5
LCM(920,3885) = 3574200 / 5
LCM(920,3885) = 714840
Lets's calculate GCF of 756,1853
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 714840/1
Therefore the LCM of Fractions 920/756,3885/1853 is 714840
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 1853
List of positive integer factors of 1853 that divides 1853 without a remainder.
1,17,109,1853
Greatest Common Factor
We found the factors 756,1853 . The biggest common factor number is the GCF number.
So the greatest common factor 756,1853 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 920/756, 3885/1853?
Answer: LCM of Numerators as per given numbers 920/756, 3885/1853 is
LCM of Numerators i.e. for 920,3885 is 714840
GCF of denominators i.e. for 756,1853 is 1.
Thus, LCM of Fractions is 714840.Finally, LCM of Fractions for 920/756, 3885/1853 is 714840.