Least Common Multiple of 542/483, 1546/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/483, 1546/270 quickly i.e. 418966/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/483, 1546/270 is 418966/3.

LCM(542/483, 1546/270) = 418966/3

LCM of 542/483, 1546/270

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 542/483,1546/270

Given numbers are 542/483,1546/270

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 542,1546

Least Common Multiple of Numerators i.e. LCM of 542,1546 is 418966.

GCF of Denominators means GCF of 483,270 as per the given fractions.

GCF of 483,270 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,1546

LCM of Fractions 542/483,1546/270 is 418966/3

2 542, 1546
271, 773

∴ So the LCM of the given numbers is 2 x 271 x 773 = 418966

Least Common Multiple of 542,1546 with GCF Formula

Least Common Multiple of 542,1546 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 542,1546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,1546) = 2

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

GCF(542,1546) x common factors =2 x 1 = 2

LCM(542,1546) = ( 542 × 1546 ) / 2

LCM(542,1546) = 837932 / 2

LCM(542,1546) = 418966


Lets's calculate GCF of 483,270

3 483, 270
161, 90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418966/3

Therefore the LCM of Fractions 542/483,1546/270 is 418966/3

Greatest Common Factor of 483,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,270 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

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 483,270 . The biggest common factor number is the GCF number.
So the greatest common factor 483,270 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 542/483, 1546/270

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 542/483, 1546/270?

Answer: LCM of Numerators as per given numbers 542/483, 1546/270 is

LCM of Numerators i.e. for 542,1546 is 418966

GCF of denominators i.e. for 483,270 is 3.

Thus, LCM of Fractions is 418966/3.Finally, LCM of Fractions for 542/483, 1546/270 is 418966/3.