Least Common Multiple of 542/175, 509/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/175, 509/631 quickly i.e. 275878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/175, 509/631 is 275878.

LCM(542/175, 509/631) = 275878

LCM of 542/175, 509/631

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 542/175,509/631

Given numbers are 542/175,509/631

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 542,509

Least Common Multiple of Numerators i.e. LCM of 542,509 is 275878.

GCF of Denominators means GCF of 175,631 as per the given fractions.

GCF of 175,631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,509

LCM of Fractions 542/175,509/631 is 275878

Given numbers has no common factors except 1. So, there LCM is their product i.e 275878

Least Common Multiple of 542,509 with GCF Formula

Least Common Multiple of 542,509 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 542,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,509) = 1

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

GCF(542,509) x common factors =1 x 1 = 1

LCM(542,509) = ( 542 × 509 ) / 1

LCM(542,509) = 275878 / 1

LCM(542,509) = 275878


Lets's calculate GCF of 175,631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275878/1

Therefore the LCM of Fractions 542/175,509/631 is 275878

Greatest Common Factor of 175,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,631 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 175,631 . The biggest common factor number is the GCF number.
So the greatest common factor 175,631 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 542/175, 509/631

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 542/175, 509/631?

Answer: LCM of Numerators as per given numbers 542/175, 509/631 is

LCM of Numerators i.e. for 542,509 is 275878

GCF of denominators i.e. for 175,631 is 1.

Thus, LCM of Fractions is 275878.Finally, LCM of Fractions for 542/175, 509/631 is 275878.