Least Common Multiple of 3/596, 45/720, 69/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/596, 45/720, 69/739 quickly i.e. 1035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/596, 45/720, 69/739 is 1035.

LCM(3/596, 45/720, 69/739) = 1035

LCM of 3/596, 45/720, 69/739

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 3/596,45/720,69/739

Given numbers are 3/596,45/720,69/739

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 3,45,69

Least Common Multiple of Numerators i.e. LCM of 3,45,69 is 1035.

GCF of Denominators means GCF of 596,720,739 as per the given fractions.

GCF of 596,720,739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,45,69

LCM of Fractions 3/596,45/720,69/739 is 1035

3 3, 45, 69
1, 15, 23

∴ So the LCM of the given numbers is 3 x 1 x 15 x 23 = 1035

Least Common Multiple of 3,45,69 with GCF Formula

Least Common Multiple of 3,45,69 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 3,45,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,45,69) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(3,45,69) x common factors =3 x 3 = 9

LCM(3,45,69) = ( 3 × 45 × 69 ) / 9

LCM(3,45,69) = 9315 / 9

LCM(3,45,69) = 1035


Lets's calculate GCF of 596,720,739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1035/1

Therefore the LCM of Fractions 3/596,45/720,69/739 is 1035

Greatest Common Factor of 596,720,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 596,720,739 By Matching Biggest Common Factor Method

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

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 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 596,720,739 . The biggest common factor number is the GCF number.
So the greatest common factor 596,720,739 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 3/596, 45/720, 69/739

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 3/596, 45/720, 69/739?

Answer: LCM of Numerators as per given numbers 3/596, 45/720, 69/739 is

LCM of Numerators i.e. for 3,45,69 is 1035

GCF of denominators i.e. for 596,720,739 is 1.

Thus, LCM of Fractions is 1035.Finally, LCM of Fractions for 3/596, 45/720, 69/739 is 1035.