Least Common Multiple of 2/743, 47/270, 44/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2/743, 47/270, 44/365 quickly i.e. 2068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/743, 47/270, 44/365 is 2068.

LCM(2/743, 47/270, 44/365) = 2068

LCM of 2/743, 47/270, 44/365

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 2/743,47/270,44/365

Given numbers are 2/743,47/270,44/365

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 2,47,44

Least Common Multiple of Numerators i.e. LCM of 2,47,44 is 2068.

GCF of Denominators means GCF of 743,270,365 as per the given fractions.

GCF of 743,270,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,47,44

LCM of Fractions 2/743,47/270,44/365 is 2068

2 2, 47, 44
1, 47, 22

∴ So the LCM of the given numbers is 2 x 1 x 47 x 22 = 2068

Least Common Multiple of 2,47,44 with GCF Formula

Least Common Multiple of 2,47,44 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 2,47,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,47,44) = 1

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

GCF(2,47,44) x common factors =1 x 2 = 2

LCM(2,47,44) = ( 2 × 47 × 44 ) / 2

LCM(2,47,44) = 4136 / 2

LCM(2,47,44) = 2068


Lets's calculate GCF of 743,270,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2068/1

Therefore the LCM of Fractions 2/743,47/270,44/365 is 2068

Greatest Common Factor of 743,270,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,270,365 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 743,270,365 . The biggest common factor number is the GCF number.
So the greatest common factor 743,270,365 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2/743, 47/270, 44/365

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 2/743, 47/270, 44/365?

Answer: LCM of Numerators as per given numbers 2/743, 47/270, 44/365 is

LCM of Numerators i.e. for 2,47,44 is 2068

GCF of denominators i.e. for 743,270,365 is 1.

Thus, LCM of Fractions is 2068.Finally, LCM of Fractions for 2/743, 47/270, 44/365 is 2068.