Least Common Multiple of 73/658, 955/165, 472/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 73/658, 955/165, 472/286 quickly i.e. 32905480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/658, 955/165, 472/286 is 32905480.

LCM(73/658, 955/165, 472/286) = 32905480

LCM of 73/658, 955/165, 472/286

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 73/658,955/165,472/286

Given numbers are 73/658,955/165,472/286

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 73,955,472

Least Common Multiple of Numerators i.e. LCM of 73,955,472 is 32905480.

GCF of Denominators means GCF of 658,165,286 as per the given fractions.

GCF of 658,165,286 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,955,472

LCM of Fractions 73/658,955/165,472/286 is 32905480

Given numbers has no common factors except 1. So, there LCM is their product i.e 32905480

Least Common Multiple of 73,955,472 with GCF Formula

Least Common Multiple of 73,955,472 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 73,955,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,955,472) = 1

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

GCF(73,955,472) x common factors =1 x 1 = 1

LCM(73,955,472) = ( 73 × 955 × 472 ) / 1

LCM(73,955,472) = 32905480 / 1

LCM(73,955,472) = 32905480


Lets's calculate GCF of 658,165,286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32905480/1

Therefore the LCM of Fractions 73/658,955/165,472/286 is 32905480

Greatest Common Factor of 658,165,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 658,165,286 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 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 658,165,286 . The biggest common factor number is the GCF number.
So the greatest common factor 658,165,286 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 73/658, 955/165, 472/286

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 73/658, 955/165, 472/286?

Answer: LCM of Numerators as per given numbers 73/658, 955/165, 472/286 is

LCM of Numerators i.e. for 73,955,472 is 32905480

GCF of denominators i.e. for 658,165,286 is 1.

Thus, LCM of Fractions is 32905480.Finally, LCM of Fractions for 73/658, 955/165, 472/286 is 32905480.