Least Common Multiple of 3/312, 20/493, 89/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/312, 20/493, 89/344 quickly i.e. 5340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/312, 20/493, 89/344 is 5340.

LCM(3/312, 20/493, 89/344) = 5340

LCM of 3/312, 20/493, 89/344

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 3/312,20/493,89/344

Given numbers are 3/312,20/493,89/344

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 3,20,89

Least Common Multiple of Numerators i.e. LCM of 3,20,89 is 5340.

GCF of Denominators means GCF of 312,493,344 as per the given fractions.

GCF of 312,493,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,20,89

LCM of Fractions 3/312,20/493,89/344 is 5340

Given numbers has no common factors except 1. So, there LCM is their product i.e 5340

Least Common Multiple of 3,20,89 with GCF Formula

Least Common Multiple of 3,20,89 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 3,20,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,20,89) = 1

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

GCF(3,20,89) x common factors =1 x 1 = 1

LCM(3,20,89) = ( 3 × 20 × 89 ) / 1

LCM(3,20,89) = 5340 / 1

LCM(3,20,89) = 5340


Lets's calculate GCF of 312,493,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5340/1

Therefore the LCM of Fractions 3/312,20/493,89/344 is 5340

Greatest Common Factor of 312,493,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,493,344 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 312,493,344 . The biggest common factor number is the GCF number.
So the greatest common factor 312,493,344 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 3/312, 20/493, 89/344

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 3/312, 20/493, 89/344?

Answer: LCM of Numerators as per given numbers 3/312, 20/493, 89/344 is

LCM of Numerators i.e. for 3,20,89 is 5340

GCF of denominators i.e. for 312,493,344 is 1.

Thus, LCM of Fractions is 5340.Finally, LCM of Fractions for 3/312, 20/493, 89/344 is 5340.