Least Common Multiple of 14/570, 80/272, 214/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/570, 80/272, 214/688 quickly i.e. 29960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/570, 80/272, 214/688 is 29960.

LCM(14/570, 80/272, 214/688) = 29960

LCM of 14/570, 80/272, 214/688

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 14/570,80/272,214/688

Given numbers are 14/570,80/272,214/688

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 14,80,214

Least Common Multiple of Numerators i.e. LCM of 14,80,214 is 59920.

GCF of Denominators means GCF of 570,272,688 as per the given fractions.

GCF of 570,272,688 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,80,214

LCM of Fractions 14/570,80/272,214/688 is 29960

2 14, 80, 214
7, 40, 107

∴ So the LCM of the given numbers is 2 x 7 x 40 x 107 = 59920

Least Common Multiple of 14,80,214 with GCF Formula

Least Common Multiple of 14,80,214 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 14,80,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,80,214) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(14,80,214) x common factors =2 x 2 = 4

LCM(14,80,214) = ( 14 × 80 × 214 ) / 4

LCM(14,80,214) = 239680 / 4

LCM(14,80,214) = 59920


Lets's calculate GCF of 570,272,688

2 570, 272, 688
285, 136, 344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59920/2

Therefore the LCM of Fractions 14/570,80/272,214/688 is 29960

Greatest Common Factor of 570,272,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,272,688 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 570,272,688 . The biggest common factor number is the GCF number.
So the greatest common factor 570,272,688 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 14/570, 80/272, 214/688

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 14/570, 80/272, 214/688?

Answer: LCM of Numerators as per given numbers 14/570, 80/272, 214/688 is

LCM of Numerators i.e. for 14,80,214 is 59920

GCF of denominators i.e. for 570,272,688 is 2.

Thus, LCM of Fractions is 29960.Finally, LCM of Fractions for 14/570, 80/272, 214/688 is 29960.