Least Common Multiple of 277/503, 3624/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 277/503, 3624/492 quickly i.e. 1003848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/503, 3624/492 is 1003848.

LCM(277/503, 3624/492) = 1003848

LCM of 277/503, 3624/492

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 277/503,3624/492

Given numbers are 277/503,3624/492

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 277,3624

Least Common Multiple of Numerators i.e. LCM of 277,3624 is 1003848.

GCF of Denominators means GCF of 503,492 as per the given fractions.

GCF of 503,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,3624

LCM of Fractions 277/503,3624/492 is 1003848

Given numbers has no common factors except 1. So, there LCM is their product i.e 1003848

Least Common Multiple of 277,3624 with GCF Formula

Least Common Multiple of 277,3624 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 277,3624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,3624) = 1

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

GCF(277,3624) x common factors =1 x 1 = 1

LCM(277,3624) = ( 277 × 3624 ) / 1

LCM(277,3624) = 1003848 / 1

LCM(277,3624) = 1003848


Lets's calculate GCF of 503,492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1003848/1

Therefore the LCM of Fractions 277/503,3624/492 is 1003848

Greatest Common Factor of 503,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,492 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 503,492 . The biggest common factor number is the GCF number.
So the greatest common factor 503,492 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 277/503, 3624/492

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 277/503, 3624/492?

Answer: LCM of Numerators as per given numbers 277/503, 3624/492 is

LCM of Numerators i.e. for 277,3624 is 1003848

GCF of denominators i.e. for 503,492 is 1.

Thus, LCM of Fractions is 1003848.Finally, LCM of Fractions for 277/503, 3624/492 is 1003848.