Least Common Multiple of 44/738, 351/720, 349/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/738, 351/720, 349/274 quickly i.e. 2694978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/738, 351/720, 349/274 is 2694978.

LCM(44/738, 351/720, 349/274) = 2694978

LCM of 44/738, 351/720, 349/274

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 44/738,351/720,349/274

Given numbers are 44/738,351/720,349/274

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 44,351,349

Least Common Multiple of Numerators i.e. LCM of 44,351,349 is 5389956.

GCF of Denominators means GCF of 738,720,274 as per the given fractions.

GCF of 738,720,274 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,351,349

LCM of Fractions 44/738,351/720,349/274 is 2694978

Given numbers has no common factors except 1. So, there LCM is their product i.e 5389956

Least Common Multiple of 44,351,349 with GCF Formula

Least Common Multiple of 44,351,349 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 44,351,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,351,349) = 1

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

GCF(44,351,349) x common factors =1 x 1 = 1

LCM(44,351,349) = ( 44 × 351 × 349 ) / 1

LCM(44,351,349) = 5389956 / 1

LCM(44,351,349) = 5389956


Lets's calculate GCF of 738,720,274

2 738, 720, 274
369, 360, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5389956/2

Therefore the LCM of Fractions 44/738,351/720,349/274 is 2694978

Greatest Common Factor of 738,720,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,720,274 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 738,720,274 . The biggest common factor number is the GCF number.
So the greatest common factor 738,720,274 is 2.


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 44/738, 351/720, 349/274

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 44/738, 351/720, 349/274?

Answer: LCM of Numerators as per given numbers 44/738, 351/720, 349/274 is

LCM of Numerators i.e. for 44,351,349 is 5389956

GCF of denominators i.e. for 738,720,274 is 2.

Thus, LCM of Fractions is 2694978.Finally, LCM of Fractions for 44/738, 351/720, 349/274 is 2694978.