Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 846/893, 1437/528 quickly i.e. 405234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 846/893, 1437/528 is 405234.
LCM(846/893, 1437/528) = 405234
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 846/893,1437/528
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 846,1437
Least Common Multiple of Numerators i.e. LCM of 846,1437 is 405234.
GCF of Denominators means GCF of 893,528 as per the given fractions.
GCF of 893,528 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 846,1437
3 | 846, 1437 |
282, 479 |
∴ So the LCM of the given numbers is 3 x 282 x 479 = 405234
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 846,1437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,1437) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(846,1437) x common factors =3 x 1 = 3
LCM(846,1437) = ( 846 × 1437 ) / 3
LCM(846,1437) = 1215702 / 3
LCM(846,1437) = 405234
Lets's calculate GCF of 893,528
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405234/1
Therefore the LCM of Fractions 846/893,1437/528 is 405234
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 893,528 . The biggest common factor number is the GCF number.
So the greatest common factor 893,528 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 846/893, 1437/528?
Answer: LCM of Numerators as per given numbers 846/893, 1437/528 is
LCM of Numerators i.e. for 846,1437 is 405234
GCF of denominators i.e. for 893,528 is 1.
Thus, LCM of Fractions is 405234.Finally, LCM of Fractions for 846/893, 1437/528 is 405234.