Least Common Multiple of 491/658, 9360/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/658, 9360/503 quickly i.e. 4595760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/658, 9360/503 is 4595760.

LCM(491/658, 9360/503) = 4595760

LCM of 491/658, 9360/503

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 491/658,9360/503

Given numbers are 491/658,9360/503

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 491,9360

Least Common Multiple of Numerators i.e. LCM of 491,9360 is 4595760.

GCF of Denominators means GCF of 658,503 as per the given fractions.

GCF of 658,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,9360

LCM of Fractions 491/658,9360/503 is 4595760

Given numbers has no common factors except 1. So, there LCM is their product i.e 4595760

Least Common Multiple of 491,9360 with GCF Formula

Least Common Multiple of 491,9360 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 491,9360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,9360) = 1

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

GCF(491,9360) x common factors =1 x 1 = 1

LCM(491,9360) = ( 491 × 9360 ) / 1

LCM(491,9360) = 4595760 / 1

LCM(491,9360) = 4595760


Lets's calculate GCF of 658,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4595760/1

Therefore the LCM of Fractions 491/658,9360/503 is 4595760

Greatest Common Factor of 658,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,503 By Matching Biggest Common Factor Method

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 658,503 . The biggest common factor number is the GCF number.
So the greatest common factor 658,503 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 491/658, 9360/503

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 491/658, 9360/503?

Answer: LCM of Numerators as per given numbers 491/658, 9360/503 is

LCM of Numerators i.e. for 491,9360 is 4595760

GCF of denominators i.e. for 658,503 is 1.

Thus, LCM of Fractions is 4595760.Finally, LCM of Fractions for 491/658, 9360/503 is 4595760.