Least Common Multiple of 739/288, 4104/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 739/288, 4104/460 quickly i.e. 758214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 739/288, 4104/460 is 758214.

LCM(739/288, 4104/460) = 758214

LCM of 739/288, 4104/460

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 739/288,4104/460

Given numbers are 739/288,4104/460

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 739,4104

Least Common Multiple of Numerators i.e. LCM of 739,4104 is 3032856.

GCF of Denominators means GCF of 288,460 as per the given fractions.

GCF of 288,460 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 739,4104

LCM of Fractions 739/288,4104/460 is 758214

Given numbers has no common factors except 1. So, there LCM is their product i.e 3032856

Least Common Multiple of 739,4104 with GCF Formula

Least Common Multiple of 739,4104 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 739,4104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,4104) = 1

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

GCF(739,4104) x common factors =1 x 1 = 1

LCM(739,4104) = ( 739 × 4104 ) / 1

LCM(739,4104) = 3032856 / 1

LCM(739,4104) = 3032856


Lets's calculate GCF of 288,460

2 288, 460
2 144, 230
72, 115

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3032856/4

Therefore the LCM of Fractions 739/288,4104/460 is 758214

Greatest Common Factor of 288,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,460 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 288,460 . The biggest common factor number is the GCF number.
So the greatest common factor 288,460 is 4.


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 739/288, 4104/460

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 739/288, 4104/460?

Answer: LCM of Numerators as per given numbers 739/288, 4104/460 is

LCM of Numerators i.e. for 739,4104 is 3032856

GCF of denominators i.e. for 288,460 is 4.

Thus, LCM of Fractions is 758214.Finally, LCM of Fractions for 739/288, 4104/460 is 758214.