Least Common Multiple of 714/16, 733/6306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/16, 733/6306 quickly i.e. 261681 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/16, 733/6306 is 261681.

LCM(714/16, 733/6306) = 261681

LCM of 714/16, 733/6306

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 714/16,733/6306

Given numbers are 714/16,733/6306

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 714,733

Least Common Multiple of Numerators i.e. LCM of 714,733 is 523362.

GCF of Denominators means GCF of 16,6306 as per the given fractions.

GCF of 16,6306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,733

LCM of Fractions 714/16,733/6306 is 261681

Given numbers has no common factors except 1. So, there LCM is their product i.e 523362

Least Common Multiple of 714,733 with GCF Formula

Least Common Multiple of 714,733 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 714,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,733) = 1

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

GCF(714,733) x common factors =1 x 1 = 1

LCM(714,733) = ( 714 × 733 ) / 1

LCM(714,733) = 523362 / 1

LCM(714,733) = 523362


Lets's calculate GCF of 16,6306

2 16, 6306
8, 3153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523362/2

Therefore the LCM of Fractions 714/16,733/6306 is 261681

Greatest Common Factor of 16,6306 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,6306 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 6306

List of positive integer factors of 6306 that divides 6306 without a remainder.

1,2,3,6,1051,2102,3153,6306

Greatest Common Factor

We found the factors 16,6306 . The biggest common factor number is the GCF number.
So the greatest common factor 16,6306 is 2.


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 714/16, 733/6306

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 714/16, 733/6306?

Answer: LCM of Numerators as per given numbers 714/16, 733/6306 is

LCM of Numerators i.e. for 714,733 is 523362

GCF of denominators i.e. for 16,6306 is 2.

Thus, LCM of Fractions is 261681.Finally, LCM of Fractions for 714/16, 733/6306 is 261681.