Least Common Multiple of 5345/549, 6012/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5345/549, 6012/324 quickly i.e. 3570460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5345/549, 6012/324 is 3570460.

LCM(5345/549, 6012/324) = 3570460

LCM of 5345/549, 6012/324

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 5345/549,6012/324

Given numbers are 5345/549,6012/324

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 5345,6012

Least Common Multiple of Numerators i.e. LCM of 5345,6012 is 32134140.

GCF of Denominators means GCF of 549,324 as per the given fractions.

GCF of 549,324 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5345,6012

LCM of Fractions 5345/549,6012/324 is 3570460

Given numbers has no common factors except 1. So, there LCM is their product i.e 32134140

Least Common Multiple of 5345,6012 with GCF Formula

Least Common Multiple of 5345,6012 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 5345,6012 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5345,6012) = 1

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

GCF(5345,6012) x common factors =1 x 1 = 1

LCM(5345,6012) = ( 5345 × 6012 ) / 1

LCM(5345,6012) = 32134140 / 1

LCM(5345,6012) = 32134140


Lets's calculate GCF of 549,324

3 549, 324
3 183, 108
61, 36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32134140/9

Therefore the LCM of Fractions 5345/549,6012/324 is 3570460

Greatest Common Factor of 549,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,324 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 549,324 . The biggest common factor number is the GCF number.
So the greatest common factor 549,324 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 5345/549, 6012/324

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 5345/549, 6012/324?

Answer: LCM of Numerators as per given numbers 5345/549, 6012/324 is

LCM of Numerators i.e. for 5345,6012 is 32134140

GCF of denominators i.e. for 549,324 is 9.

Thus, LCM of Fractions is 3570460.Finally, LCM of Fractions for 5345/549, 6012/324 is 3570460.