Least Common Multiple of 72/785, 57/350, 285/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/785, 57/350, 285/283 quickly i.e. 6840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/785, 57/350, 285/283 is 6840.

LCM(72/785, 57/350, 285/283) = 6840

LCM of 72/785, 57/350, 285/283

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 72/785,57/350,285/283

Given numbers are 72/785,57/350,285/283

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 72,57,285

Least Common Multiple of Numerators i.e. LCM of 72,57,285 is 6840.

GCF of Denominators means GCF of 785,350,283 as per the given fractions.

GCF of 785,350,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,57,285

LCM of Fractions 72/785,57/350,285/283 is 6840

3 72, 57, 285
19 24, 19, 95
24, 1, 5

∴ So the LCM of the given numbers is 3 x 19 x 24 x 1 x 5 = 6840

Least Common Multiple of 72,57,285 with GCF Formula

Least Common Multiple of 72,57,285 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 72,57,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,57,285) = 3

common factors(in case of two or more numbers have common factors) = 57

GCF(72,57,285) x common factors =3 x 57 = 171

LCM(72,57,285) = ( 72 × 57 × 285 ) / 171

LCM(72,57,285) = 1169640 / 171

LCM(72,57,285) = 6840


Lets's calculate GCF of 785,350,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6840/1

Therefore the LCM of Fractions 72/785,57/350,285/283 is 6840

Greatest Common Factor of 785,350,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 785,350,283 By Matching Biggest Common Factor Method

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 785,350,283 . The biggest common factor number is the GCF number.
So the greatest common factor 785,350,283 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 72/785, 57/350, 285/283

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 72/785, 57/350, 285/283?

Answer: LCM of Numerators as per given numbers 72/785, 57/350, 285/283 is

LCM of Numerators i.e. for 72,57,285 is 6840

GCF of denominators i.e. for 785,350,283 is 1.

Thus, LCM of Fractions is 6840.Finally, LCM of Fractions for 72/785, 57/350, 285/283 is 6840.