Least Common Multiple of 296/71, 409/3511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 296/71, 409/3511 quickly i.e. 121064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 296/71, 409/3511 is 121064.

LCM(296/71, 409/3511) = 121064

LCM of 296/71, 409/3511

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 296/71,409/3511

Given numbers are 296/71,409/3511

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 296,409

Least Common Multiple of Numerators i.e. LCM of 296,409 is 121064.

GCF of Denominators means GCF of 71,3511 as per the given fractions.

GCF of 71,3511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 296,409

LCM of Fractions 296/71,409/3511 is 121064

Given numbers has no common factors except 1. So, there LCM is their product i.e 121064

Least Common Multiple of 296,409 with GCF Formula

Least Common Multiple of 296,409 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 296,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,409) = 1

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

GCF(296,409) x common factors =1 x 1 = 1

LCM(296,409) = ( 296 × 409 ) / 1

LCM(296,409) = 121064 / 1

LCM(296,409) = 121064


Lets's calculate GCF of 71,3511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121064/1

Therefore the LCM of Fractions 296/71,409/3511 is 121064

Greatest Common Factor of 71,3511 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,3511 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 3511

List of positive integer factors of 3511 that divides 3511 without a remainder.

1,3511

Greatest Common Factor

We found the factors 71,3511 . The biggest common factor number is the GCF number.
So the greatest common factor 71,3511 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 296/71, 409/3511

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 296/71, 409/3511?

Answer: LCM of Numerators as per given numbers 296/71, 409/3511 is

LCM of Numerators i.e. for 296,409 is 121064

GCF of denominators i.e. for 71,3511 is 1.

Thus, LCM of Fractions is 121064.Finally, LCM of Fractions for 296/71, 409/3511 is 121064.