Least Common Multiple of 428/523, 509/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/523, 509/275 quickly i.e. 217852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/523, 509/275 is 217852.

LCM(428/523, 509/275) = 217852

LCM of 428/523, 509/275

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 428/523,509/275

Given numbers are 428/523,509/275

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 428,509

Least Common Multiple of Numerators i.e. LCM of 428,509 is 217852.

GCF of Denominators means GCF of 523,275 as per the given fractions.

GCF of 523,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,509

LCM of Fractions 428/523,509/275 is 217852

Given numbers has no common factors except 1. So, there LCM is their product i.e 217852

Least Common Multiple of 428,509 with GCF Formula

Least Common Multiple of 428,509 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 428,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,509) = 1

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

GCF(428,509) x common factors =1 x 1 = 1

LCM(428,509) = ( 428 × 509 ) / 1

LCM(428,509) = 217852 / 1

LCM(428,509) = 217852


Lets's calculate GCF of 523,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217852/1

Therefore the LCM of Fractions 428/523,509/275 is 217852

Greatest Common Factor of 523,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,275 By Matching Biggest Common Factor Method

Factors of 523

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

1,523

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 523,275 . The biggest common factor number is the GCF number.
So the greatest common factor 523,275 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 428/523, 509/275

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 428/523, 509/275?

Answer: LCM of Numerators as per given numbers 428/523, 509/275 is

LCM of Numerators i.e. for 428,509 is 217852

GCF of denominators i.e. for 523,275 is 1.

Thus, LCM of Fractions is 217852.Finally, LCM of Fractions for 428/523, 509/275 is 217852.