Least Common Multiple of 32/414, 22/462, 499/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/414, 22/462, 499/691 quickly i.e. 175648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/414, 22/462, 499/691 is 175648.

LCM(32/414, 22/462, 499/691) = 175648

LCM of 32/414, 22/462, 499/691

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 32/414,22/462,499/691

Given numbers are 32/414,22/462,499/691

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 32,22,499

Least Common Multiple of Numerators i.e. LCM of 32,22,499 is 175648.

GCF of Denominators means GCF of 414,462,691 as per the given fractions.

GCF of 414,462,691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,22,499

LCM of Fractions 32/414,22/462,499/691 is 175648

2 32, 22, 499
16, 11, 499

∴ So the LCM of the given numbers is 2 x 16 x 11 x 499 = 175648

Least Common Multiple of 32,22,499 with GCF Formula

Least Common Multiple of 32,22,499 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 32,22,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,22,499) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,22,499) x common factors =1 x 2 = 2

LCM(32,22,499) = ( 32 × 22 × 499 ) / 2

LCM(32,22,499) = 351296 / 2

LCM(32,22,499) = 175648


Lets's calculate GCF of 414,462,691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175648/1

Therefore the LCM of Fractions 32/414,22/462,499/691 is 175648

Greatest Common Factor of 414,462,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,462,691 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 414,462,691 . The biggest common factor number is the GCF number.
So the greatest common factor 414,462,691 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 32/414, 22/462, 499/691

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 32/414, 22/462, 499/691?

Answer: LCM of Numerators as per given numbers 32/414, 22/462, 499/691 is

LCM of Numerators i.e. for 32,22,499 is 175648

GCF of denominators i.e. for 414,462,691 is 1.

Thus, LCM of Fractions is 175648.Finally, LCM of Fractions for 32/414, 22/462, 499/691 is 175648.