Least Common Multiple of 720/592, 7265/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/592, 7265/912 quickly i.e. 65385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/592, 7265/912 is 65385.

LCM(720/592, 7265/912) = 65385

LCM of 720/592, 7265/912

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 720/592,7265/912

Given numbers are 720/592,7265/912

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 720,7265

Least Common Multiple of Numerators i.e. LCM of 720,7265 is 1046160.

GCF of Denominators means GCF of 592,912 as per the given fractions.

GCF of 592,912 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,7265

LCM of Fractions 720/592,7265/912 is 65385

5 720, 7265
144, 1453

∴ So the LCM of the given numbers is 5 x 144 x 1453 = 1046160

Least Common Multiple of 720,7265 with GCF Formula

Least Common Multiple of 720,7265 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 720,7265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,7265) = 5

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

GCF(720,7265) x common factors =5 x 1 = 5

LCM(720,7265) = ( 720 × 7265 ) / 5

LCM(720,7265) = 5230800 / 5

LCM(720,7265) = 1046160


Lets's calculate GCF of 592,912

2 592, 912
2 296, 456
2 148, 228
2 74, 114
37, 57

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1046160/16

Therefore the LCM of Fractions 720/592,7265/912 is 65385

Greatest Common Factor of 592,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,912 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 592,912 . The biggest common factor number is the GCF number.
So the greatest common factor 592,912 is 16.


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 720/592, 7265/912

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 720/592, 7265/912?

Answer: LCM of Numerators as per given numbers 720/592, 7265/912 is

LCM of Numerators i.e. for 720,7265 is 1046160

GCF of denominators i.e. for 592,912 is 16.

Thus, LCM of Fractions is 65385.Finally, LCM of Fractions for 720/592, 7265/912 is 65385.