Least Common Multiple of 988/23, 524/77, 744/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 988/23, 524/77, 744/823 quickly i.e. 24073608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/23, 524/77, 744/823 is 24073608.

LCM(988/23, 524/77, 744/823) = 24073608

LCM of 988/23, 524/77, 744/823

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 988/23,524/77,744/823

Given numbers are 988/23,524/77,744/823

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 988,524,744

Least Common Multiple of Numerators i.e. LCM of 988,524,744 is 24073608.

GCF of Denominators means GCF of 23,77,823 as per the given fractions.

GCF of 23,77,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,524,744

LCM of Fractions 988/23,524/77,744/823 is 24073608

2 988, 524, 744
2 494, 262, 372
247, 131, 186

∴ So the LCM of the given numbers is 2 x 2 x 247 x 131 x 186 = 24073608

Least Common Multiple of 988,524,744 with GCF Formula

Least Common Multiple of 988,524,744 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 988,524,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,524,744) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(988,524,744) x common factors =4 x 4 = 16

LCM(988,524,744) = ( 988 × 524 × 744 ) / 16

LCM(988,524,744) = 385177728 / 16

LCM(988,524,744) = 24073608


Lets's calculate GCF of 23,77,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24073608/1

Therefore the LCM of Fractions 988/23,524/77,744/823 is 24073608

Greatest Common Factor of 23,77,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,77,823 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 77

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

1,7,11,77

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 23,77,823 . The biggest common factor number is the GCF number.
So the greatest common factor 23,77,823 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 988/23, 524/77, 744/823

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 988/23, 524/77, 744/823?

Answer: LCM of Numerators as per given numbers 988/23, 524/77, 744/823 is

LCM of Numerators i.e. for 988,524,744 is 24073608

GCF of denominators i.e. for 23,77,823 is 1.

Thus, LCM of Fractions is 24073608.Finally, LCM of Fractions for 988/23, 524/77, 744/823 is 24073608.