Least Common Multiple of 538/67, 768/9703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 538/67, 768/9703 quickly i.e. 206592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 538/67, 768/9703 is 206592.

LCM(538/67, 768/9703) = 206592

LCM of 538/67, 768/9703

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 538/67,768/9703

Given numbers are 538/67,768/9703

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 538,768

Least Common Multiple of Numerators i.e. LCM of 538,768 is 206592.

GCF of Denominators means GCF of 67,9703 as per the given fractions.

GCF of 67,9703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 538,768

LCM of Fractions 538/67,768/9703 is 206592

2 538, 768
269, 384

∴ So the LCM of the given numbers is 2 x 269 x 384 = 206592

Least Common Multiple of 538,768 with GCF Formula

Least Common Multiple of 538,768 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 538,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,768) = 2

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

GCF(538,768) x common factors =2 x 1 = 2

LCM(538,768) = ( 538 × 768 ) / 2

LCM(538,768) = 413184 / 2

LCM(538,768) = 206592


Lets's calculate GCF of 67,9703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206592/1

Therefore the LCM of Fractions 538/67,768/9703 is 206592

Greatest Common Factor of 67,9703 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,9703 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 9703

List of positive integer factors of 9703 that divides 9703 without a remainder.

1,31,313,9703

Greatest Common Factor

We found the factors 67,9703 . The biggest common factor number is the GCF number.
So the greatest common factor 67,9703 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 538/67, 768/9703

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 538/67, 768/9703?

Answer: LCM of Numerators as per given numbers 538/67, 768/9703 is

LCM of Numerators i.e. for 538,768 is 206592

GCF of denominators i.e. for 67,9703 is 1.

Thus, LCM of Fractions is 206592.Finally, LCM of Fractions for 538/67, 768/9703 is 206592.