Least Common Multiple of 503/77, 288/4995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 503/77, 288/4995 quickly i.e. 144864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 503/77, 288/4995 is 144864.

LCM(503/77, 288/4995) = 144864

LCM of 503/77, 288/4995

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 503/77,288/4995

Given numbers are 503/77,288/4995

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 503,288

Least Common Multiple of Numerators i.e. LCM of 503,288 is 144864.

GCF of Denominators means GCF of 77,4995 as per the given fractions.

GCF of 77,4995 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 503,288

LCM of Fractions 503/77,288/4995 is 144864

Given numbers has no common factors except 1. So, there LCM is their product i.e 144864

Least Common Multiple of 503,288 with GCF Formula

Least Common Multiple of 503,288 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 503,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,288) = 1

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

GCF(503,288) x common factors =1 x 1 = 1

LCM(503,288) = ( 503 × 288 ) / 1

LCM(503,288) = 144864 / 1

LCM(503,288) = 144864


Lets's calculate GCF of 77,4995

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144864/1

Therefore the LCM of Fractions 503/77,288/4995 is 144864

Greatest Common Factor of 77,4995 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,4995 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 4995

List of positive integer factors of 4995 that divides 4995 without a remainder.

1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995

Greatest Common Factor

We found the factors 77,4995 . The biggest common factor number is the GCF number.
So the greatest common factor 77,4995 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 503/77, 288/4995

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 503/77, 288/4995?

Answer: LCM of Numerators as per given numbers 503/77, 288/4995 is

LCM of Numerators i.e. for 503,288 is 144864

GCF of denominators i.e. for 77,4995 is 1.

Thus, LCM of Fractions is 144864.Finally, LCM of Fractions for 503/77, 288/4995 is 144864.