Least Common Multiple of 69/145, 73/411, 592/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/145, 73/411, 592/723 quickly i.e. 2981904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/145, 73/411, 592/723 is 2981904.

LCM(69/145, 73/411, 592/723) = 2981904

LCM of 69/145, 73/411, 592/723

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 69/145,73/411,592/723

Given numbers are 69/145,73/411,592/723

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 69,73,592

Least Common Multiple of Numerators i.e. LCM of 69,73,592 is 2981904.

GCF of Denominators means GCF of 145,411,723 as per the given fractions.

GCF of 145,411,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,73,592

LCM of Fractions 69/145,73/411,592/723 is 2981904

Given numbers has no common factors except 1. So, there LCM is their product i.e 2981904

Least Common Multiple of 69,73,592 with GCF Formula

Least Common Multiple of 69,73,592 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 69,73,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,73,592) = 1

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

GCF(69,73,592) x common factors =1 x 1 = 1

LCM(69,73,592) = ( 69 × 73 × 592 ) / 1

LCM(69,73,592) = 2981904 / 1

LCM(69,73,592) = 2981904


Lets's calculate GCF of 145,411,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2981904/1

Therefore the LCM of Fractions 69/145,73/411,592/723 is 2981904

Greatest Common Factor of 145,411,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,411,723 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 145,411,723 . The biggest common factor number is the GCF number.
So the greatest common factor 145,411,723 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 69/145, 73/411, 592/723

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 69/145, 73/411, 592/723?

Answer: LCM of Numerators as per given numbers 69/145, 73/411, 592/723 is

LCM of Numerators i.e. for 69,73,592 is 2981904

GCF of denominators i.e. for 145,411,723 is 1.

Thus, LCM of Fractions is 2981904.Finally, LCM of Fractions for 69/145, 73/411, 592/723 is 2981904.