Least Common Multiple of 32/69, 46/89, 493/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/69, 46/89, 493/602 quickly i.e. 362848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/69, 46/89, 493/602 is 362848.

LCM(32/69, 46/89, 493/602) = 362848

LCM of 32/69, 46/89, 493/602

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 32/69,46/89,493/602

Given numbers are 32/69,46/89,493/602

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 32,46,493

Least Common Multiple of Numerators i.e. LCM of 32,46,493 is 362848.

GCF of Denominators means GCF of 69,89,602 as per the given fractions.

GCF of 69,89,602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,46,493

LCM of Fractions 32/69,46/89,493/602 is 362848

2 32, 46, 493
16, 23, 493

∴ So the LCM of the given numbers is 2 x 16 x 23 x 493 = 362848

Least Common Multiple of 32,46,493 with GCF Formula

Least Common Multiple of 32,46,493 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 32,46,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,46,493) = 1

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

GCF(32,46,493) x common factors =1 x 2 = 2

LCM(32,46,493) = ( 32 × 46 × 493 ) / 2

LCM(32,46,493) = 725696 / 2

LCM(32,46,493) = 362848


Lets's calculate GCF of 69,89,602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362848/1

Therefore the LCM of Fractions 32/69,46/89,493/602 is 362848

Greatest Common Factor of 69,89,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,89,602 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 69,89,602 . The biggest common factor number is the GCF number.
So the greatest common factor 69,89,602 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 32/69, 46/89, 493/602

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 32/69, 46/89, 493/602?

Answer: LCM of Numerators as per given numbers 32/69, 46/89, 493/602 is

LCM of Numerators i.e. for 32,46,493 is 362848

GCF of denominators i.e. for 69,89,602 is 1.

Thus, LCM of Fractions is 362848.Finally, LCM of Fractions for 32/69, 46/89, 493/602 is 362848.