Least Common Multiple of 423/358, 283/165, 403/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 423/358, 283/165, 403/651 quickly i.e. 48242727 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/358, 283/165, 403/651 is 48242727.

LCM(423/358, 283/165, 403/651) = 48242727

LCM of 423/358, 283/165, 403/651

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 423/358,283/165,403/651

Given numbers are 423/358,283/165,403/651

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 423,283,403

Least Common Multiple of Numerators i.e. LCM of 423,283,403 is 48242727.

GCF of Denominators means GCF of 358,165,651 as per the given fractions.

GCF of 358,165,651 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,283,403

LCM of Fractions 423/358,283/165,403/651 is 48242727

Given numbers has no common factors except 1. So, there LCM is their product i.e 48242727

Least Common Multiple of 423,283,403 with GCF Formula

Least Common Multiple of 423,283,403 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 423,283,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,283,403) = 1

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

GCF(423,283,403) x common factors =1 x 1 = 1

LCM(423,283,403) = ( 423 × 283 × 403 ) / 1

LCM(423,283,403) = 48242727 / 1

LCM(423,283,403) = 48242727


Lets's calculate GCF of 358,165,651

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48242727/1

Therefore the LCM of Fractions 423/358,283/165,403/651 is 48242727

Greatest Common Factor of 358,165,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 358,165,651 By Matching Biggest Common Factor Method

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

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 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 358,165,651 . The biggest common factor number is the GCF number.
So the greatest common factor 358,165,651 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 423/358, 283/165, 403/651

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 423/358, 283/165, 403/651?

Answer: LCM of Numerators as per given numbers 423/358, 283/165, 403/651 is

LCM of Numerators i.e. for 423,283,403 is 48242727

GCF of denominators i.e. for 358,165,651 is 1.

Thus, LCM of Fractions is 48242727.Finally, LCM of Fractions for 423/358, 283/165, 403/651 is 48242727.