Least Common Multiple of 683/24, 539/90, 816/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/24, 539/90, 816/988 quickly i.e. 150199896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/24, 539/90, 816/988 is 150199896.

LCM(683/24, 539/90, 816/988) = 150199896

LCM of 683/24, 539/90, 816/988

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 683/24,539/90,816/988

Given numbers are 683/24,539/90,816/988

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 683,539,816

Least Common Multiple of Numerators i.e. LCM of 683,539,816 is 300399792.

GCF of Denominators means GCF of 24,90,988 as per the given fractions.

GCF of 24,90,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,539,816

LCM of Fractions 683/24,539/90,816/988 is 150199896

Given numbers has no common factors except 1. So, there LCM is their product i.e 300399792

Least Common Multiple of 683,539,816 with GCF Formula

Least Common Multiple of 683,539,816 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 683,539,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,539,816) = 1

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

GCF(683,539,816) x common factors =1 x 1 = 1

LCM(683,539,816) = ( 683 × 539 × 816 ) / 1

LCM(683,539,816) = 300399792 / 1

LCM(683,539,816) = 300399792


Lets's calculate GCF of 24,90,988

2 24, 90, 988
12, 45, 494

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300399792/2

Therefore the LCM of Fractions 683/24,539/90,816/988 is 150199896

Greatest Common Factor of 24,90,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,90,988 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 24,90,988 . The biggest common factor number is the GCF number.
So the greatest common factor 24,90,988 is 2.


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 683/24, 539/90, 816/988

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 683/24, 539/90, 816/988?

Answer: LCM of Numerators as per given numbers 683/24, 539/90, 816/988 is

LCM of Numerators i.e. for 683,539,816 is 300399792

GCF of denominators i.e. for 24,90,988 is 2.

Thus, LCM of Fractions is 150199896.Finally, LCM of Fractions for 683/24, 539/90, 816/988 is 150199896.