Least Common Multiple of 496/74, 459/1452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/74, 459/1452 quickly i.e. 113832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/74, 459/1452 is 113832.

LCM(496/74, 459/1452) = 113832

LCM of 496/74, 459/1452

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 496/74,459/1452

Given numbers are 496/74,459/1452

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 496,459

Least Common Multiple of Numerators i.e. LCM of 496,459 is 227664.

GCF of Denominators means GCF of 74,1452 as per the given fractions.

GCF of 74,1452 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,459

LCM of Fractions 496/74,459/1452 is 113832

Given numbers has no common factors except 1. So, there LCM is their product i.e 227664

Least Common Multiple of 496,459 with GCF Formula

Least Common Multiple of 496,459 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 496,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,459) = 1

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

GCF(496,459) x common factors =1 x 1 = 1

LCM(496,459) = ( 496 × 459 ) / 1

LCM(496,459) = 227664 / 1

LCM(496,459) = 227664


Lets's calculate GCF of 74,1452

2 74, 1452
37, 726

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227664/2

Therefore the LCM of Fractions 496/74,459/1452 is 113832

Greatest Common Factor of 74,1452 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,1452 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 1452

List of positive integer factors of 1452 that divides 1452 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,121,132,242,363,484,726,1452

Greatest Common Factor

We found the factors 74,1452 . The biggest common factor number is the GCF number.
So the greatest common factor 74,1452 is 2.


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 496/74, 459/1452

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 496/74, 459/1452?

Answer: LCM of Numerators as per given numbers 496/74, 459/1452 is

LCM of Numerators i.e. for 496,459 is 227664

GCF of denominators i.e. for 74,1452 is 2.

Thus, LCM of Fractions is 113832.Finally, LCM of Fractions for 496/74, 459/1452 is 113832.