Least Common Multiple of 14/207, 73/624, 265/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/207, 73/624, 265/960 quickly i.e. 270830/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/207, 73/624, 265/960 is 270830/3.

LCM(14/207, 73/624, 265/960) = 270830/3

LCM of 14/207, 73/624, 265/960

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 14/207,73/624,265/960

Given numbers are 14/207,73/624,265/960

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 14,73,265

Least Common Multiple of Numerators i.e. LCM of 14,73,265 is 270830.

GCF of Denominators means GCF of 207,624,960 as per the given fractions.

GCF of 207,624,960 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,73,265

LCM of Fractions 14/207,73/624,265/960 is 270830/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 270830

Least Common Multiple of 14,73,265 with GCF Formula

Least Common Multiple of 14,73,265 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 14,73,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,73,265) = 1

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

GCF(14,73,265) x common factors =1 x 1 = 1

LCM(14,73,265) = ( 14 × 73 × 265 ) / 1

LCM(14,73,265) = 270830 / 1

LCM(14,73,265) = 270830


Lets's calculate GCF of 207,624,960

3 207, 624, 960
69, 208, 320

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270830/3

Therefore the LCM of Fractions 14/207,73/624,265/960 is 270830/3

Greatest Common Factor of 207,624,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,624,960 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 207,624,960 . The biggest common factor number is the GCF number.
So the greatest common factor 207,624,960 is 3.


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 14/207, 73/624, 265/960

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 14/207, 73/624, 265/960?

Answer: LCM of Numerators as per given numbers 14/207, 73/624, 265/960 is

LCM of Numerators i.e. for 14,73,265 is 270830

GCF of denominators i.e. for 207,624,960 is 3.

Thus, LCM of Fractions is 270830/3.Finally, LCM of Fractions for 14/207, 73/624, 265/960 is 270830/3.