Least Common Multiple of 497/63, 9659/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 497/63, 9659/418 quickly i.e. 4800523 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 497/63, 9659/418 is 4800523.

LCM(497/63, 9659/418) = 4800523

LCM of 497/63, 9659/418

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 497/63,9659/418

Given numbers are 497/63,9659/418

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 497,9659

Least Common Multiple of Numerators i.e. LCM of 497,9659 is 4800523.

GCF of Denominators means GCF of 63,418 as per the given fractions.

GCF of 63,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 497,9659

LCM of Fractions 497/63,9659/418 is 4800523

Given numbers has no common factors except 1. So, there LCM is their product i.e 4800523

Least Common Multiple of 497,9659 with GCF Formula

Least Common Multiple of 497,9659 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 497,9659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,9659) = 1

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

GCF(497,9659) x common factors =1 x 1 = 1

LCM(497,9659) = ( 497 × 9659 ) / 1

LCM(497,9659) = 4800523 / 1

LCM(497,9659) = 4800523


Lets's calculate GCF of 63,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4800523/1

Therefore the LCM of Fractions 497/63,9659/418 is 4800523

Greatest Common Factor of 63,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,418 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 63,418 . The biggest common factor number is the GCF number.
So the greatest common factor 63,418 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 497/63, 9659/418

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 497/63, 9659/418?

Answer: LCM of Numerators as per given numbers 497/63, 9659/418 is

LCM of Numerators i.e. for 497,9659 is 4800523

GCF of denominators i.e. for 63,418 is 1.

Thus, LCM of Fractions is 4800523.Finally, LCM of Fractions for 497/63, 9659/418 is 4800523.