Least Common Multiple of 71/291, 43/603, 740/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/291, 43/603, 740/444 quickly i.e. 2259220/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/291, 43/603, 740/444 is 2259220/3.

LCM(71/291, 43/603, 740/444) = 2259220/3

LCM of 71/291, 43/603, 740/444

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 71/291,43/603,740/444

Given numbers are 71/291,43/603,740/444

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 71,43,740

Least Common Multiple of Numerators i.e. LCM of 71,43,740 is 2259220.

GCF of Denominators means GCF of 291,603,444 as per the given fractions.

GCF of 291,603,444 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,43,740

LCM of Fractions 71/291,43/603,740/444 is 2259220/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2259220

Least Common Multiple of 71,43,740 with GCF Formula

Least Common Multiple of 71,43,740 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 71,43,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,43,740) = 1

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

GCF(71,43,740) x common factors =1 x 1 = 1

LCM(71,43,740) = ( 71 × 43 × 740 ) / 1

LCM(71,43,740) = 2259220 / 1

LCM(71,43,740) = 2259220


Lets's calculate GCF of 291,603,444

3 291, 603, 444
97, 201, 148

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2259220/3

Therefore the LCM of Fractions 71/291,43/603,740/444 is 2259220/3

Greatest Common Factor of 291,603,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,603,444 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 291,603,444 . The biggest common factor number is the GCF number.
So the greatest common factor 291,603,444 is 3.


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 71/291, 43/603, 740/444

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 71/291, 43/603, 740/444?

Answer: LCM of Numerators as per given numbers 71/291, 43/603, 740/444 is

LCM of Numerators i.e. for 71,43,740 is 2259220

GCF of denominators i.e. for 291,603,444 is 3.

Thus, LCM of Fractions is 2259220/3.Finally, LCM of Fractions for 71/291, 43/603, 740/444 is 2259220/3.