Least Common Multiple of 40/76, 71/802, 322/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/76, 71/802, 322/349 quickly i.e. 457240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/76, 71/802, 322/349 is 457240.

LCM(40/76, 71/802, 322/349) = 457240

LCM of 40/76, 71/802, 322/349

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 40/76,71/802,322/349

Given numbers are 40/76,71/802,322/349

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 40,71,322

Least Common Multiple of Numerators i.e. LCM of 40,71,322 is 457240.

GCF of Denominators means GCF of 76,802,349 as per the given fractions.

GCF of 76,802,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,71,322

LCM of Fractions 40/76,71/802,322/349 is 457240

2 40, 71, 322
20, 71, 161

∴ So the LCM of the given numbers is 2 x 20 x 71 x 161 = 457240

Least Common Multiple of 40,71,322 with GCF Formula

Least Common Multiple of 40,71,322 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 40,71,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,71,322) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,71,322) x common factors =1 x 2 = 2

LCM(40,71,322) = ( 40 × 71 × 322 ) / 2

LCM(40,71,322) = 914480 / 2

LCM(40,71,322) = 457240


Lets's calculate GCF of 76,802,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457240/1

Therefore the LCM of Fractions 40/76,71/802,322/349 is 457240

Greatest Common Factor of 76,802,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,802,349 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 76,802,349 . The biggest common factor number is the GCF number.
So the greatest common factor 76,802,349 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 40/76, 71/802, 322/349

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 40/76, 71/802, 322/349?

Answer: LCM of Numerators as per given numbers 40/76, 71/802, 322/349 is

LCM of Numerators i.e. for 40,71,322 is 457240

GCF of denominators i.e. for 76,802,349 is 1.

Thus, LCM of Fractions is 457240.Finally, LCM of Fractions for 40/76, 71/802, 322/349 is 457240.