Least Common Multiple of 55/18, 65/41, 54/44, 40/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/18, 65/41, 54/44, 40/492 quickly i.e. 154440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/18, 65/41, 54/44, 40/492 is 154440.

LCM(55/18, 65/41, 54/44, 40/492) = 154440

LCM of 55/18, 65/41, 54/44, 40/492

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 55/18,65/41,54/44,40/492

Given numbers are 55/18,65/41,54/44,40/492

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 55,65,54,40

Least Common Multiple of Numerators i.e. LCM of 55,65,54,40 is 154440.

GCF of Denominators means GCF of 18,41,44,492 as per the given fractions.

GCF of 18,41,44,492 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,65,54,40

LCM of Fractions 55/18,65/41,54/44,40/492 is 154440

2 55, 65, 54, 40
5 55, 65, 27, 20
11, 13, 27, 4

∴ So the LCM of the given numbers is 2 x 5 x 11 x 13 x 27 x 4 = 154440

Least Common Multiple of 55,65,54,40 with GCF Formula

Least Common Multiple of 55,65,54,40 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 55,65,54,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,65,54,40) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(55,65,54,40) x common factors =1 x 50 = 50

LCM(55,65,54,40) = ( 55 × 65 × 54 × 40 ) / 50

LCM(55,65,54,40) = 7722000 / 50

LCM(55,65,54,40) = 154440


Lets's calculate GCF of 18,41,44,492

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154440/1

Therefore the LCM of Fractions 55/18,65/41,54/44,40/492 is 154440

Greatest Common Factor of 18,41,44,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,41,44,492 By Matching Biggest Common Factor Method

Factors of 18

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

1,2,3,6,9,18

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

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

Greatest Common Factor

We found the factors 18,41,44,492 . The biggest common factor number is the GCF number.
So the greatest common factor 18,41,44,492 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 55/18, 65/41, 54/44, 40/492

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 55/18, 65/41, 54/44, 40/492?

Answer: LCM of Numerators as per given numbers 55/18, 65/41, 54/44, 40/492 is

LCM of Numerators i.e. for 55,65,54,40 is 154440

GCF of denominators i.e. for 18,41,44,492 is 1.

Thus, LCM of Fractions is 154440.Finally, LCM of Fractions for 55/18, 65/41, 54/44, 40/492 is 154440.