Least Common Multiple of 18/350, 18/354, 477/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/350, 18/354, 477/498 quickly i.e. 477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/350, 18/354, 477/498 is 477.

LCM(18/350, 18/354, 477/498) = 477

LCM of 18/350, 18/354, 477/498

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 18/350,18/354,477/498

Given numbers are 18/350,18/354,477/498

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 18,18,477

Least Common Multiple of Numerators i.e. LCM of 18,18,477 is 954.

GCF of Denominators means GCF of 350,354,498 as per the given fractions.

GCF of 350,354,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,18,477

LCM of Fractions 18/350,18/354,477/498 is 477

2 18, 18, 477
3 9, 9, 477
3 3, 3, 159
1, 1, 53

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 1 x 53 = 954

Least Common Multiple of 18,18,477 with GCF Formula

Least Common Multiple of 18,18,477 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 18,18,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,18,477) = 9

common factors(in case of two or more numbers have common factors) = 18

GCF(18,18,477) x common factors =9 x 18 = 162

LCM(18,18,477) = ( 18 × 18 × 477 ) / 162

LCM(18,18,477) = 154548 / 162

LCM(18,18,477) = 954


Lets's calculate GCF of 350,354,498

2 350, 354, 498
175, 177, 249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 954/2

Therefore the LCM of Fractions 18/350,18/354,477/498 is 477

Greatest Common Factor of 350,354,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,354,498 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 350,354,498 . The biggest common factor number is the GCF number.
So the greatest common factor 350,354,498 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 18/350, 18/354, 477/498

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 18/350, 18/354, 477/498?

Answer: LCM of Numerators as per given numbers 18/350, 18/354, 477/498 is

LCM of Numerators i.e. for 18,18,477 is 954

GCF of denominators i.e. for 350,354,498 is 2.

Thus, LCM of Fractions is 477.Finally, LCM of Fractions for 18/350, 18/354, 477/498 is 477.