Least Common Multiple of 7680/709, 7388/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7680/709, 7388/512 quickly i.e. 14184960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7680/709, 7388/512 is 14184960.

LCM(7680/709, 7388/512) = 14184960

LCM of 7680/709, 7388/512

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 7680/709,7388/512

Given numbers are 7680/709,7388/512

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 7680,7388

Least Common Multiple of Numerators i.e. LCM of 7680,7388 is 14184960.

GCF of Denominators means GCF of 709,512 as per the given fractions.

GCF of 709,512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7680,7388

LCM of Fractions 7680/709,7388/512 is 14184960

2 7680, 7388
2 3840, 3694
1920, 1847

∴ So the LCM of the given numbers is 2 x 2 x 1920 x 1847 = 14184960

Least Common Multiple of 7680,7388 with GCF Formula

Least Common Multiple of 7680,7388 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 7680,7388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7680,7388) = 4

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

GCF(7680,7388) x common factors =4 x 1 = 4

LCM(7680,7388) = ( 7680 × 7388 ) / 4

LCM(7680,7388) = 56739840 / 4

LCM(7680,7388) = 14184960


Lets's calculate GCF of 709,512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14184960/1

Therefore the LCM of Fractions 7680/709,7388/512 is 14184960

Greatest Common Factor of 709,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 709,512 By Matching Biggest Common Factor Method

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 709,512 . The biggest common factor number is the GCF number.
So the greatest common factor 709,512 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 7680/709, 7388/512

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 7680/709, 7388/512?

Answer: LCM of Numerators as per given numbers 7680/709, 7388/512 is

LCM of Numerators i.e. for 7680,7388 is 14184960

GCF of denominators i.e. for 709,512 is 1.

Thus, LCM of Fractions is 14184960.Finally, LCM of Fractions for 7680/709, 7388/512 is 14184960.