Least Common Multiple of 69/362, 720/960, 388/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 69/362, 720/960, 388/723 quickly i.e. 1606320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/362, 720/960, 388/723 is 1606320.

LCM(69/362, 720/960, 388/723) = 1606320

LCM of 69/362, 720/960, 388/723

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 69/362,720/960,388/723

Given numbers are 69/362,720/960,388/723

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 69,720,388

Least Common Multiple of Numerators i.e. LCM of 69,720,388 is 1606320.

GCF of Denominators means GCF of 362,960,723 as per the given fractions.

GCF of 362,960,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,720,388

LCM of Fractions 69/362,720/960,388/723 is 1606320

2 69, 720, 388
2 69, 360, 194
3 69, 180, 97
23, 60, 97

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 60 x 97 = 1606320

Least Common Multiple of 69,720,388 with GCF Formula

Least Common Multiple of 69,720,388 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 69,720,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,720,388) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(69,720,388) x common factors =1 x 12 = 12

LCM(69,720,388) = ( 69 × 720 × 388 ) / 12

LCM(69,720,388) = 19275840 / 12

LCM(69,720,388) = 1606320


Lets's calculate GCF of 362,960,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1606320/1

Therefore the LCM of Fractions 69/362,720/960,388/723 is 1606320

Greatest Common Factor of 362,960,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,960,723 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

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 362,960,723 . The biggest common factor number is the GCF number.
So the greatest common factor 362,960,723 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 69/362, 720/960, 388/723

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 69/362, 720/960, 388/723?

Answer: LCM of Numerators as per given numbers 69/362, 720/960, 388/723 is

LCM of Numerators i.e. for 69,720,388 is 1606320

GCF of denominators i.e. for 362,960,723 is 1.

Thus, LCM of Fractions is 1606320.Finally, LCM of Fractions for 69/362, 720/960, 388/723 is 1606320.