Least Common Multiple of 458/45, 344/6067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/45, 344/6067 quickly i.e. 78776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/45, 344/6067 is 78776.

LCM(458/45, 344/6067) = 78776

LCM of 458/45, 344/6067

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 458/45,344/6067

Given numbers are 458/45,344/6067

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 458,344

Least Common Multiple of Numerators i.e. LCM of 458,344 is 78776.

GCF of Denominators means GCF of 45,6067 as per the given fractions.

GCF of 45,6067 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,344

LCM of Fractions 458/45,344/6067 is 78776

2 458, 344
229, 172

∴ So the LCM of the given numbers is 2 x 229 x 172 = 78776

Least Common Multiple of 458,344 with GCF Formula

Least Common Multiple of 458,344 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 458,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,344) = 2

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

GCF(458,344) x common factors =2 x 1 = 2

LCM(458,344) = ( 458 × 344 ) / 2

LCM(458,344) = 157552 / 2

LCM(458,344) = 78776


Lets's calculate GCF of 45,6067

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78776/1

Therefore the LCM of Fractions 458/45,344/6067 is 78776

Greatest Common Factor of 45,6067 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,6067 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 6067

List of positive integer factors of 6067 that divides 6067 without a remainder.

1,6067

Greatest Common Factor

We found the factors 45,6067 . The biggest common factor number is the GCF number.
So the greatest common factor 45,6067 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 458/45, 344/6067

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 458/45, 344/6067?

Answer: LCM of Numerators as per given numbers 458/45, 344/6067 is

LCM of Numerators i.e. for 458,344 is 78776

GCF of denominators i.e. for 45,6067 is 1.

Thus, LCM of Fractions is 78776.Finally, LCM of Fractions for 458/45, 344/6067 is 78776.