Least Common Multiple of 53/54, 168/81, 310/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/54, 168/81, 310/450 quickly i.e. 1380120/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/54, 168/81, 310/450 is 1380120/9.

LCM(53/54, 168/81, 310/450) = 1380120/9

LCM of 53/54, 168/81, 310/450

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 53/54,168/81,310/450

Given numbers are 53/54,168/81,310/450

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 53,168,310

Least Common Multiple of Numerators i.e. LCM of 53,168,310 is 1380120.

GCF of Denominators means GCF of 54,81,450 as per the given fractions.

GCF of 54,81,450 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,168,310

LCM of Fractions 53/54,168/81,310/450 is 1380120/9

2 53, 168, 310
53, 84, 155

∴ So the LCM of the given numbers is 2 x 53 x 84 x 155 = 1380120

Least Common Multiple of 53,168,310 with GCF Formula

Least Common Multiple of 53,168,310 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 53,168,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,168,310) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,168,310) x common factors =1 x 2 = 2

LCM(53,168,310) = ( 53 × 168 × 310 ) / 2

LCM(53,168,310) = 2760240 / 2

LCM(53,168,310) = 1380120


Lets's calculate GCF of 54,81,450

3 54, 81, 450
3 18, 27, 150
6, 9, 50

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1380120/9

Therefore the LCM of Fractions 53/54,168/81,310/450 is 1380120/9

Greatest Common Factor of 54,81,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,81,450 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 54,81,450 . The biggest common factor number is the GCF number.
So the greatest common factor 54,81,450 is 9.


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 53/54, 168/81, 310/450

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 53/54, 168/81, 310/450?

Answer: LCM of Numerators as per given numbers 53/54, 168/81, 310/450 is

LCM of Numerators i.e. for 53,168,310 is 1380120

GCF of denominators i.e. for 54,81,450 is 9.

Thus, LCM of Fractions is 1380120/9.Finally, LCM of Fractions for 53/54, 168/81, 310/450 is 1380120/9.