Least Common Multiple of 687/456, 401/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/456, 401/523 quickly i.e. 275487 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/456, 401/523 is 275487.

LCM(687/456, 401/523) = 275487

LCM of 687/456, 401/523

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 687/456,401/523

Given numbers are 687/456,401/523

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 687,401

Least Common Multiple of Numerators i.e. LCM of 687,401 is 275487.

GCF of Denominators means GCF of 456,523 as per the given fractions.

GCF of 456,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,401

LCM of Fractions 687/456,401/523 is 275487

Given numbers has no common factors except 1. So, there LCM is their product i.e 275487

Least Common Multiple of 687,401 with GCF Formula

Least Common Multiple of 687,401 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 687,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,401) = 1

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

GCF(687,401) x common factors =1 x 1 = 1

LCM(687,401) = ( 687 × 401 ) / 1

LCM(687,401) = 275487 / 1

LCM(687,401) = 275487


Lets's calculate GCF of 456,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 275487/1

Therefore the LCM of Fractions 687/456,401/523 is 275487

Greatest Common Factor of 456,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,523 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 523

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

1,523

Greatest Common Factor

We found the factors 456,523 . The biggest common factor number is the GCF number.
So the greatest common factor 456,523 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 687/456, 401/523

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 687/456, 401/523?

Answer: LCM of Numerators as per given numbers 687/456, 401/523 is

LCM of Numerators i.e. for 687,401 is 275487

GCF of denominators i.e. for 456,523 is 1.

Thus, LCM of Fractions is 275487.Finally, LCM of Fractions for 687/456, 401/523 is 275487.