Least Common Multiple of 388/80, 723/9745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 388/80, 723/9745 quickly i.e. 280524/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 388/80, 723/9745 is 280524/5.

LCM(388/80, 723/9745) = 280524/5

LCM of 388/80, 723/9745

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 388/80,723/9745

Given numbers are 388/80,723/9745

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 388,723

Least Common Multiple of Numerators i.e. LCM of 388,723 is 280524.

GCF of Denominators means GCF of 80,9745 as per the given fractions.

GCF of 80,9745 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 388,723

LCM of Fractions 388/80,723/9745 is 280524/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 280524

Least Common Multiple of 388,723 with GCF Formula

Least Common Multiple of 388,723 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 388,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,723) = 1

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

GCF(388,723) x common factors =1 x 1 = 1

LCM(388,723) = ( 388 × 723 ) / 1

LCM(388,723) = 280524 / 1

LCM(388,723) = 280524


Lets's calculate GCF of 80,9745

5 80, 9745
16, 1949

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280524/5

Therefore the LCM of Fractions 388/80,723/9745 is 280524/5

Greatest Common Factor of 80,9745 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,9745 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 9745

List of positive integer factors of 9745 that divides 9745 without a remainder.

1,5,1949,9745

Greatest Common Factor

We found the factors 80,9745 . The biggest common factor number is the GCF number.
So the greatest common factor 80,9745 is 5.


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 388/80, 723/9745

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 388/80, 723/9745?

Answer: LCM of Numerators as per given numbers 388/80, 723/9745 is

LCM of Numerators i.e. for 388,723 is 280524

GCF of denominators i.e. for 80,9745 is 5.

Thus, LCM of Fractions is 280524/5.Finally, LCM of Fractions for 388/80, 723/9745 is 280524/5.