Least Common Multiple of 249/14, 165/5334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/14, 165/5334 quickly i.e. 13695/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/14, 165/5334 is 13695/14.

LCM(249/14, 165/5334) = 13695/14

LCM of 249/14, 165/5334

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 249/14,165/5334

Given numbers are 249/14,165/5334

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 249,165

Least Common Multiple of Numerators i.e. LCM of 249,165 is 13695.

GCF of Denominators means GCF of 14,5334 as per the given fractions.

GCF of 14,5334 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,165

LCM of Fractions 249/14,165/5334 is 13695/14

3 249, 165
83, 55

∴ So the LCM of the given numbers is 3 x 83 x 55 = 13695

Least Common Multiple of 249,165 with GCF Formula

Least Common Multiple of 249,165 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 249,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,165) = 3

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

GCF(249,165) x common factors =3 x 1 = 3

LCM(249,165) = ( 249 × 165 ) / 3

LCM(249,165) = 41085 / 3

LCM(249,165) = 13695


Lets's calculate GCF of 14,5334

2 14, 5334
7 7, 2667
1, 381

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13695/14

Therefore the LCM of Fractions 249/14,165/5334 is 13695/14

Greatest Common Factor of 14,5334 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,5334 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 5334

List of positive integer factors of 5334 that divides 5334 without a remainder.

1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334

Greatest Common Factor

We found the factors 14,5334 . The biggest common factor number is the GCF number.
So the greatest common factor 14,5334 is 14.


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 249/14, 165/5334

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 249/14, 165/5334?

Answer: LCM of Numerators as per given numbers 249/14, 165/5334 is

LCM of Numerators i.e. for 249,165 is 13695

GCF of denominators i.e. for 14,5334 is 14.

Thus, LCM of Fractions is 13695/14.Finally, LCM of Fractions for 249/14, 165/5334 is 13695/14.