Least Common Multiple of 501/496, 3578/4754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/496, 3578/4754 quickly i.e. 896289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/496, 3578/4754 is 896289.

LCM(501/496, 3578/4754) = 896289

LCM of 501/496, 3578/4754

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 501/496,3578/4754

Given numbers are 501/496,3578/4754

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 501,3578

Least Common Multiple of Numerators i.e. LCM of 501,3578 is 1792578.

GCF of Denominators means GCF of 496,4754 as per the given fractions.

GCF of 496,4754 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,3578

LCM of Fractions 501/496,3578/4754 is 896289

Given numbers has no common factors except 1. So, there LCM is their product i.e 1792578

Least Common Multiple of 501,3578 with GCF Formula

Least Common Multiple of 501,3578 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 501,3578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,3578) = 1

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

GCF(501,3578) x common factors =1 x 1 = 1

LCM(501,3578) = ( 501 × 3578 ) / 1

LCM(501,3578) = 1792578 / 1

LCM(501,3578) = 1792578


Lets's calculate GCF of 496,4754

2 496, 4754
248, 2377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1792578/2

Therefore the LCM of Fractions 501/496,3578/4754 is 896289

Greatest Common Factor of 496,4754 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,4754 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 4754

List of positive integer factors of 4754 that divides 4754 without a remainder.

1,2,2377,4754

Greatest Common Factor

We found the factors 496,4754 . The biggest common factor number is the GCF number.
So the greatest common factor 496,4754 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 501/496, 3578/4754

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 501/496, 3578/4754?

Answer: LCM of Numerators as per given numbers 501/496, 3578/4754 is

LCM of Numerators i.e. for 501,3578 is 1792578

GCF of denominators i.e. for 496,4754 is 2.

Thus, LCM of Fractions is 896289.Finally, LCM of Fractions for 501/496, 3578/4754 is 896289.