Least Common Multiple of 5/574, 3/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/574, 3/168 quickly i.e. 15/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/574, 3/168 is 15/14.

LCM(5/574, 3/168) = 15/14

LCM of 5/574, 3/168

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 5/574,3/168

Given numbers are 5/574,3/168

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 5,3

Least Common Multiple of Numerators i.e. LCM of 5,3 is 15.

GCF of Denominators means GCF of 574,168 as per the given fractions.

GCF of 574,168 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,3

LCM of Fractions 5/574,3/168 is 15/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 15

Least Common Multiple of 5,3 with GCF Formula

Least Common Multiple of 5,3 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 5,3 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,3) = 1

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

GCF(5,3) x common factors =1 x 1 = 1

LCM(5,3) = ( 5 × 3 ) / 1

LCM(5,3) = 15 / 1

LCM(5,3) = 15


Lets's calculate GCF of 574,168

2 574, 168
7 287, 84
41, 12

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15/14

Therefore the LCM of Fractions 5/574,3/168 is 15/14

Greatest Common Factor of 574,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,168 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 574,168 . The biggest common factor number is the GCF number.
So the greatest common factor 574,168 is 14.


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 5/574, 3/168

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 5/574, 3/168?

Answer: LCM of Numerators as per given numbers 5/574, 3/168 is

LCM of Numerators i.e. for 5,3 is 15

GCF of denominators i.e. for 574,168 is 14.

Thus, LCM of Fractions is 15/14.Finally, LCM of Fractions for 5/574, 3/168 is 15/14.