Least Common Multiple of 843/57, 424/54, 691/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 843/57, 424/54, 691/270 quickly i.e. 82328504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 843/57, 424/54, 691/270 is 82328504.

LCM(843/57, 424/54, 691/270) = 82328504

LCM of 843/57, 424/54, 691/270

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 843/57,424/54,691/270

Given numbers are 843/57,424/54,691/270

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 843,424,691

Least Common Multiple of Numerators i.e. LCM of 843,424,691 is 246985512.

GCF of Denominators means GCF of 57,54,270 as per the given fractions.

GCF of 57,54,270 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 843,424,691

LCM of Fractions 843/57,424/54,691/270 is 82328504

Given numbers has no common factors except 1. So, there LCM is their product i.e 246985512

Least Common Multiple of 843,424,691 with GCF Formula

Least Common Multiple of 843,424,691 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 843,424,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,424,691) = 1

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

GCF(843,424,691) x common factors =1 x 1 = 1

LCM(843,424,691) = ( 843 × 424 × 691 ) / 1

LCM(843,424,691) = 246985512 / 1

LCM(843,424,691) = 246985512


Lets's calculate GCF of 57,54,270

3 57, 54, 270
19, 18, 90

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246985512/3

Therefore the LCM of Fractions 843/57,424/54,691/270 is 82328504

Greatest Common Factor of 57,54,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,54,270 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 57,54,270 . The biggest common factor number is the GCF number.
So the greatest common factor 57,54,270 is 3.


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 843/57, 424/54, 691/270

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 843/57, 424/54, 691/270?

Answer: LCM of Numerators as per given numbers 843/57, 424/54, 691/270 is

LCM of Numerators i.e. for 843,424,691 is 246985512

GCF of denominators i.e. for 57,54,270 is 3.

Thus, LCM of Fractions is 82328504.Finally, LCM of Fractions for 843/57, 424/54, 691/270 is 82328504.