Least Common Multiple of 326/382, 5727/402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 326/382, 5727/402 quickly i.e. 933501 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 326/382, 5727/402 is 933501.

LCM(326/382, 5727/402) = 933501

LCM of 326/382, 5727/402

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 326/382,5727/402

Given numbers are 326/382,5727/402

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 326,5727

Least Common Multiple of Numerators i.e. LCM of 326,5727 is 1867002.

GCF of Denominators means GCF of 382,402 as per the given fractions.

GCF of 382,402 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 326,5727

LCM of Fractions 326/382,5727/402 is 933501

Given numbers has no common factors except 1. So, there LCM is their product i.e 1867002

Least Common Multiple of 326,5727 with GCF Formula

Least Common Multiple of 326,5727 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 326,5727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,5727) = 1

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

GCF(326,5727) x common factors =1 x 1 = 1

LCM(326,5727) = ( 326 × 5727 ) / 1

LCM(326,5727) = 1867002 / 1

LCM(326,5727) = 1867002


Lets's calculate GCF of 382,402

2 382, 402
191, 201

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1867002/2

Therefore the LCM of Fractions 326/382,5727/402 is 933501

Greatest Common Factor of 382,402 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,402 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Greatest Common Factor

We found the factors 382,402 . The biggest common factor number is the GCF number.
So the greatest common factor 382,402 is 2.


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 326/382, 5727/402

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 326/382, 5727/402?

Answer: LCM of Numerators as per given numbers 326/382, 5727/402 is

LCM of Numerators i.e. for 326,5727 is 1867002

GCF of denominators i.e. for 382,402 is 2.

Thus, LCM of Fractions is 933501.Finally, LCM of Fractions for 326/382, 5727/402 is 933501.