Least Common Multiple of 972/36, 489/8383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/36, 489/8383 quickly i.e. 158436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/36, 489/8383 is 158436.

LCM(972/36, 489/8383) = 158436

LCM of 972/36, 489/8383

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 972/36,489/8383

Given numbers are 972/36,489/8383

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 972,489

Least Common Multiple of Numerators i.e. LCM of 972,489 is 158436.

GCF of Denominators means GCF of 36,8383 as per the given fractions.

GCF of 36,8383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,489

LCM of Fractions 972/36,489/8383 is 158436

3 972, 489
324, 163

∴ So the LCM of the given numbers is 3 x 324 x 163 = 158436

Least Common Multiple of 972,489 with GCF Formula

Least Common Multiple of 972,489 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 972,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,489) = 3

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

GCF(972,489) x common factors =3 x 1 = 3

LCM(972,489) = ( 972 × 489 ) / 3

LCM(972,489) = 475308 / 3

LCM(972,489) = 158436


Lets's calculate GCF of 36,8383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158436/1

Therefore the LCM of Fractions 972/36,489/8383 is 158436

Greatest Common Factor of 36,8383 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,8383 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 8383

List of positive integer factors of 8383 that divides 8383 without a remainder.

1,83,101,8383

Greatest Common Factor

We found the factors 36,8383 . The biggest common factor number is the GCF number.
So the greatest common factor 36,8383 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 972/36, 489/8383

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 972/36, 489/8383?

Answer: LCM of Numerators as per given numbers 972/36, 489/8383 is

LCM of Numerators i.e. for 972,489 is 158436

GCF of denominators i.e. for 36,8383 is 1.

Thus, LCM of Fractions is 158436.Finally, LCM of Fractions for 972/36, 489/8383 is 158436.