Least Common Multiple of 42/99, 36/95, 54/18, 40/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/99, 36/95, 54/18, 40/489 quickly i.e. 7560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/99, 36/95, 54/18, 40/489 is 7560.

LCM(42/99, 36/95, 54/18, 40/489) = 7560

LCM of 42/99, 36/95, 54/18, 40/489

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 42/99,36/95,54/18,40/489

Given numbers are 42/99,36/95,54/18,40/489

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 42,36,54,40

Least Common Multiple of Numerators i.e. LCM of 42,36,54,40 is 7560.

GCF of Denominators means GCF of 99,95,18,489 as per the given fractions.

GCF of 99,95,18,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,36,54,40

LCM of Fractions 42/99,36/95,54/18,40/489 is 7560

2 42, 36, 54, 40
2 21, 18, 27, 20
3 21, 9, 27, 10
3 7, 3, 9, 10
7, 1, 3, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 1 x 3 x 10 = 7560

Least Common Multiple of 42,36,54,40 with GCF Formula

Least Common Multiple of 42,36,54,40 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 42,36,54,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,36,54,40) = 2

common factors(in case of two or more numbers have common factors) = 216

GCF(42,36,54,40) x common factors =2 x 216 = 432

LCM(42,36,54,40) = ( 42 × 36 × 54 × 40 ) / 432

LCM(42,36,54,40) = 3265920 / 432

LCM(42,36,54,40) = 7560


Lets's calculate GCF of 99,95,18,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7560/1

Therefore the LCM of Fractions 42/99,36/95,54/18,40/489 is 7560

Greatest Common Factor of 99,95,18,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,95,18,489 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 99,95,18,489 . The biggest common factor number is the GCF number.
So the greatest common factor 99,95,18,489 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 42/99, 36/95, 54/18, 40/489

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 42/99, 36/95, 54/18, 40/489?

Answer: LCM of Numerators as per given numbers 42/99, 36/95, 54/18, 40/489 is

LCM of Numerators i.e. for 42,36,54,40 is 7560

GCF of denominators i.e. for 99,95,18,489 is 1.

Thus, LCM of Fractions is 7560.Finally, LCM of Fractions for 42/99, 36/95, 54/18, 40/489 is 7560.