Least Common Multiple of 81/492, 318/600, 883/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/492, 318/600, 883/970 quickly i.e. 3790719 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/492, 318/600, 883/970 is 3790719.

LCM(81/492, 318/600, 883/970) = 3790719

LCM of 81/492, 318/600, 883/970

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 81/492,318/600,883/970

Given numbers are 81/492,318/600,883/970

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 81,318,883

Least Common Multiple of Numerators i.e. LCM of 81,318,883 is 7581438.

GCF of Denominators means GCF of 492,600,970 as per the given fractions.

GCF of 492,600,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,318,883

LCM of Fractions 81/492,318/600,883/970 is 3790719

3 81, 318, 883
27, 106, 883

∴ So the LCM of the given numbers is 3 x 27 x 106 x 883 = 7581438

Least Common Multiple of 81,318,883 with GCF Formula

Least Common Multiple of 81,318,883 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 81,318,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,318,883) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,318,883) x common factors =1 x 3 = 3

LCM(81,318,883) = ( 81 × 318 × 883 ) / 3

LCM(81,318,883) = 22744314 / 3

LCM(81,318,883) = 7581438


Lets's calculate GCF of 492,600,970

2 492, 600, 970
246, 300, 485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7581438/2

Therefore the LCM of Fractions 81/492,318/600,883/970 is 3790719

Greatest Common Factor of 492,600,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,600,970 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 492,600,970 . The biggest common factor number is the GCF number.
So the greatest common factor 492,600,970 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 81/492, 318/600, 883/970

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 81/492, 318/600, 883/970?

Answer: LCM of Numerators as per given numbers 81/492, 318/600, 883/970 is

LCM of Numerators i.e. for 81,318,883 is 7581438

GCF of denominators i.e. for 492,600,970 is 2.

Thus, LCM of Fractions is 3790719.Finally, LCM of Fractions for 81/492, 318/600, 883/970 is 3790719.