Least Common Multiple of 846/893, 1437/528

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

LCM of 846/893, 1437/528

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 846/893,1437/528

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

LCM of Fractions 846/893,1437/528 is 405234

3 846, 1437
282, 479

∴ So the LCM of the given numbers is 3 x 282 x 479 = 405234

Least Common Multiple of 846,1437 with GCF Formula

Least Common Multiple of 846,1437 with GCF Formula

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

Greatest Common Factor of 893,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,528 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 846/893, 1437/528

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.