Least Common Multiple of 401/71, 429/90, 936/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 401/71, 429/90, 936/326 quickly i.e. 4128696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 401/71, 429/90, 936/326 is 4128696.

LCM(401/71, 429/90, 936/326) = 4128696

LCM of 401/71, 429/90, 936/326

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 401/71,429/90,936/326

Given numbers are 401/71,429/90,936/326

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 401,429,936

Least Common Multiple of Numerators i.e. LCM of 401,429,936 is 4128696.

GCF of Denominators means GCF of 71,90,326 as per the given fractions.

GCF of 71,90,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 401,429,936

LCM of Fractions 401/71,429/90,936/326 is 4128696

3 401, 429, 936
13 401, 143, 312
401, 11, 24

∴ So the LCM of the given numbers is 3 x 13 x 401 x 11 x 24 = 4128696

Least Common Multiple of 401,429,936 with GCF Formula

Least Common Multiple of 401,429,936 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 401,429,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,429,936) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(401,429,936) x common factors =1 x 39 = 39

LCM(401,429,936) = ( 401 × 429 × 936 ) / 39

LCM(401,429,936) = 161019144 / 39

LCM(401,429,936) = 4128696


Lets's calculate GCF of 71,90,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4128696/1

Therefore the LCM of Fractions 401/71,429/90,936/326 is 4128696

Greatest Common Factor of 71,90,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,90,326 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 71,90,326 . The biggest common factor number is the GCF number.
So the greatest common factor 71,90,326 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 401/71, 429/90, 936/326

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 401/71, 429/90, 936/326?

Answer: LCM of Numerators as per given numbers 401/71, 429/90, 936/326 is

LCM of Numerators i.e. for 401,429,936 is 4128696

GCF of denominators i.e. for 71,90,326 is 1.

Thus, LCM of Fractions is 4128696.Finally, LCM of Fractions for 401/71, 429/90, 936/326 is 4128696.