Least Common Multiple of 498/38, 487/1973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 498/38, 487/1973 quickly i.e. 242526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 498/38, 487/1973 is 242526.

LCM(498/38, 487/1973) = 242526

LCM of 498/38, 487/1973

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 498/38,487/1973

Given numbers are 498/38,487/1973

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 498,487

Least Common Multiple of Numerators i.e. LCM of 498,487 is 242526.

GCF of Denominators means GCF of 38,1973 as per the given fractions.

GCF of 38,1973 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 498,487

LCM of Fractions 498/38,487/1973 is 242526

Given numbers has no common factors except 1. So, there LCM is their product i.e 242526

Least Common Multiple of 498,487 with GCF Formula

Least Common Multiple of 498,487 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 498,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,487) = 1

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

GCF(498,487) x common factors =1 x 1 = 1

LCM(498,487) = ( 498 × 487 ) / 1

LCM(498,487) = 242526 / 1

LCM(498,487) = 242526


Lets's calculate GCF of 38,1973

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242526/1

Therefore the LCM of Fractions 498/38,487/1973 is 242526

Greatest Common Factor of 38,1973 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,1973 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 1973

List of positive integer factors of 1973 that divides 1973 without a remainder.

1,1973

Greatest Common Factor

We found the factors 38,1973 . The biggest common factor number is the GCF number.
So the greatest common factor 38,1973 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 498/38, 487/1973

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 498/38, 487/1973?

Answer: LCM of Numerators as per given numbers 498/38, 487/1973 is

LCM of Numerators i.e. for 498,487 is 242526

GCF of denominators i.e. for 38,1973 is 1.

Thus, LCM of Fractions is 242526.Finally, LCM of Fractions for 498/38, 487/1973 is 242526.