Least Common Multiple of 823/76, 391/89, 738/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/76, 391/89, 738/284 quickly i.e. 237483234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/76, 391/89, 738/284 is 237483234.

LCM(823/76, 391/89, 738/284) = 237483234

LCM of 823/76, 391/89, 738/284

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 823/76,391/89,738/284

Given numbers are 823/76,391/89,738/284

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 823,391,738

Least Common Multiple of Numerators i.e. LCM of 823,391,738 is 237483234.

GCF of Denominators means GCF of 76,89,284 as per the given fractions.

GCF of 76,89,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,391,738

LCM of Fractions 823/76,391/89,738/284 is 237483234

Given numbers has no common factors except 1. So, there LCM is their product i.e 237483234

Least Common Multiple of 823,391,738 with GCF Formula

Least Common Multiple of 823,391,738 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 823,391,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,391,738) = 1

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

GCF(823,391,738) x common factors =1 x 1 = 1

LCM(823,391,738) = ( 823 × 391 × 738 ) / 1

LCM(823,391,738) = 237483234 / 1

LCM(823,391,738) = 237483234


Lets's calculate GCF of 76,89,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237483234/1

Therefore the LCM of Fractions 823/76,391/89,738/284 is 237483234

Greatest Common Factor of 76,89,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,89,284 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 76,89,284 . The biggest common factor number is the GCF number.
So the greatest common factor 76,89,284 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 823/76, 391/89, 738/284

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 823/76, 391/89, 738/284?

Answer: LCM of Numerators as per given numbers 823/76, 391/89, 738/284 is

LCM of Numerators i.e. for 823,391,738 is 237483234

GCF of denominators i.e. for 76,89,284 is 1.

Thus, LCM of Fractions is 237483234.Finally, LCM of Fractions for 823/76, 391/89, 738/284 is 237483234.