Least Common Multiple of 493/116, 336/460, 269/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/116, 336/460, 269/484 quickly i.e. 11139828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/116, 336/460, 269/484 is 11139828.

LCM(493/116, 336/460, 269/484) = 11139828

LCM of 493/116, 336/460, 269/484

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 493/116,336/460,269/484

Given numbers are 493/116,336/460,269/484

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 493,336,269

Least Common Multiple of Numerators i.e. LCM of 493,336,269 is 44559312.

GCF of Denominators means GCF of 116,460,484 as per the given fractions.

GCF of 116,460,484 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,336,269

LCM of Fractions 493/116,336/460,269/484 is 11139828

Given numbers has no common factors except 1. So, there LCM is their product i.e 44559312

Least Common Multiple of 493,336,269 with GCF Formula

Least Common Multiple of 493,336,269 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 493,336,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,336,269) = 1

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

GCF(493,336,269) x common factors =1 x 1 = 1

LCM(493,336,269) = ( 493 × 336 × 269 ) / 1

LCM(493,336,269) = 44559312 / 1

LCM(493,336,269) = 44559312


Lets's calculate GCF of 116,460,484

2 116, 460, 484
2 58, 230, 242
29, 115, 121

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44559312/4

Therefore the LCM of Fractions 493/116,336/460,269/484 is 11139828

Greatest Common Factor of 116,460,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,460,484 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 116,460,484 . The biggest common factor number is the GCF number.
So the greatest common factor 116,460,484 is 4.


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 493/116, 336/460, 269/484

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 493/116, 336/460, 269/484?

Answer: LCM of Numerators as per given numbers 493/116, 336/460, 269/484 is

LCM of Numerators i.e. for 493,336,269 is 44559312

GCF of denominators i.e. for 116,460,484 is 4.

Thus, LCM of Fractions is 11139828.Finally, LCM of Fractions for 493/116, 336/460, 269/484 is 11139828.