Least Common Multiple of 45/60, 409/43, 728/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/60, 409/43, 728/346 quickly i.e. 13398840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/60, 409/43, 728/346 is 13398840.

LCM(45/60, 409/43, 728/346) = 13398840

LCM of 45/60, 409/43, 728/346

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 45/60,409/43,728/346

Given numbers are 45/60,409/43,728/346

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 45,409,728

Least Common Multiple of Numerators i.e. LCM of 45,409,728 is 13398840.

GCF of Denominators means GCF of 60,43,346 as per the given fractions.

GCF of 60,43,346 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,409,728

LCM of Fractions 45/60,409/43,728/346 is 13398840

Given numbers has no common factors except 1. So, there LCM is their product i.e 13398840

Least Common Multiple of 45,409,728 with GCF Formula

Least Common Multiple of 45,409,728 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 45,409,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,409,728) = 1

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

GCF(45,409,728) x common factors =1 x 1 = 1

LCM(45,409,728) = ( 45 × 409 × 728 ) / 1

LCM(45,409,728) = 13398840 / 1

LCM(45,409,728) = 13398840


Lets's calculate GCF of 60,43,346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13398840/1

Therefore the LCM of Fractions 45/60,409/43,728/346 is 13398840

Greatest Common Factor of 60,43,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,43,346 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 60,43,346 . The biggest common factor number is the GCF number.
So the greatest common factor 60,43,346 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 45/60, 409/43, 728/346

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 45/60, 409/43, 728/346?

Answer: LCM of Numerators as per given numbers 45/60, 409/43, 728/346 is

LCM of Numerators i.e. for 45,409,728 is 13398840

GCF of denominators i.e. for 60,43,346 is 1.

Thus, LCM of Fractions is 13398840.Finally, LCM of Fractions for 45/60, 409/43, 728/346 is 13398840.