Least Common Multiple of 85/287, 33/595, 688/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/287, 33/595, 688/523 quickly i.e. 1929840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/287, 33/595, 688/523 is 1929840.

LCM(85/287, 33/595, 688/523) = 1929840

LCM of 85/287, 33/595, 688/523

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 85/287,33/595,688/523

Given numbers are 85/287,33/595,688/523

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 85,33,688

Least Common Multiple of Numerators i.e. LCM of 85,33,688 is 1929840.

GCF of Denominators means GCF of 287,595,523 as per the given fractions.

GCF of 287,595,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,33,688

LCM of Fractions 85/287,33/595,688/523 is 1929840

Given numbers has no common factors except 1. So, there LCM is their product i.e 1929840

Least Common Multiple of 85,33,688 with GCF Formula

Least Common Multiple of 85,33,688 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 85,33,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,33,688) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(85,33,688) x common factors =1 x 1 = 1

LCM(85,33,688) = ( 85 × 33 × 688 ) / 1

LCM(85,33,688) = 1929840 / 1

LCM(85,33,688) = 1929840


Lets's calculate GCF of 287,595,523

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1929840/1

Therefore the LCM of Fractions 85/287,33/595,688/523 is 1929840

Greatest Common Factor of 287,595,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,595,523 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 287,595,523 . The biggest common factor number is the GCF number.
So the greatest common factor 287,595,523 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 85/287, 33/595, 688/523

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 85/287, 33/595, 688/523?

Answer: LCM of Numerators as per given numbers 85/287, 33/595, 688/523 is

LCM of Numerators i.e. for 85,33,688 is 1929840

GCF of denominators i.e. for 287,595,523 is 1.

Thus, LCM of Fractions is 1929840.Finally, LCM of Fractions for 85/287, 33/595, 688/523 is 1929840.