Least Common Multiple of 152/493, 2727/1478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/493, 2727/1478 quickly i.e. 414504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/493, 2727/1478 is 414504.

LCM(152/493, 2727/1478) = 414504

LCM of 152/493, 2727/1478

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 152/493,2727/1478

Given numbers are 152/493,2727/1478

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 152,2727

Least Common Multiple of Numerators i.e. LCM of 152,2727 is 414504.

GCF of Denominators means GCF of 493,1478 as per the given fractions.

GCF of 493,1478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,2727

LCM of Fractions 152/493,2727/1478 is 414504

Given numbers has no common factors except 1. So, there LCM is their product i.e 414504

Least Common Multiple of 152,2727 with GCF Formula

Least Common Multiple of 152,2727 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 152,2727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,2727) = 1

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

GCF(152,2727) x common factors =1 x 1 = 1

LCM(152,2727) = ( 152 × 2727 ) / 1

LCM(152,2727) = 414504 / 1

LCM(152,2727) = 414504


Lets's calculate GCF of 493,1478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414504/1

Therefore the LCM of Fractions 152/493,2727/1478 is 414504

Greatest Common Factor of 493,1478 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,1478 By Matching Biggest Common Factor Method

Factors of 493

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

1,17,29,493

Factors of 1478

List of positive integer factors of 1478 that divides 1478 without a remainder.

1,2,739,1478

Greatest Common Factor

We found the factors 493,1478 . The biggest common factor number is the GCF number.
So the greatest common factor 493,1478 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 152/493, 2727/1478

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 152/493, 2727/1478?

Answer: LCM of Numerators as per given numbers 152/493, 2727/1478 is

LCM of Numerators i.e. for 152,2727 is 414504

GCF of denominators i.e. for 493,1478 is 1.

Thus, LCM of Fractions is 414504.Finally, LCM of Fractions for 152/493, 2727/1478 is 414504.