Least Common Multiple of 55/500, 29/382, 618/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/500, 29/382, 618/918 quickly i.e. 492855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/500, 29/382, 618/918 is 492855.

LCM(55/500, 29/382, 618/918) = 492855

LCM of 55/500, 29/382, 618/918

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 55/500,29/382,618/918

Given numbers are 55/500,29/382,618/918

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 55,29,618

Least Common Multiple of Numerators i.e. LCM of 55,29,618 is 985710.

GCF of Denominators means GCF of 500,382,918 as per the given fractions.

GCF of 500,382,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,29,618

LCM of Fractions 55/500,29/382,618/918 is 492855

Given numbers has no common factors except 1. So, there LCM is their product i.e 985710

Least Common Multiple of 55,29,618 with GCF Formula

Least Common Multiple of 55,29,618 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 55,29,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,29,618) = 1

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

GCF(55,29,618) x common factors =1 x 1 = 1

LCM(55,29,618) = ( 55 × 29 × 618 ) / 1

LCM(55,29,618) = 985710 / 1

LCM(55,29,618) = 985710


Lets's calculate GCF of 500,382,918

2 500, 382, 918
250, 191, 459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 985710/2

Therefore the LCM of Fractions 55/500,29/382,618/918 is 492855

Greatest Common Factor of 500,382,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,382,918 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 500,382,918 . The biggest common factor number is the GCF number.
So the greatest common factor 500,382,918 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 55/500, 29/382, 618/918

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 55/500, 29/382, 618/918?

Answer: LCM of Numerators as per given numbers 55/500, 29/382, 618/918 is

LCM of Numerators i.e. for 55,29,618 is 985710

GCF of denominators i.e. for 500,382,918 is 2.

Thus, LCM of Fractions is 492855.Finally, LCM of Fractions for 55/500, 29/382, 618/918 is 492855.