Least Common Multiple of 288/14, 968/53, 330/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/14, 968/53, 330/732 quickly i.e. 174240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/14, 968/53, 330/732 is 174240.

LCM(288/14, 968/53, 330/732) = 174240

LCM of 288/14, 968/53, 330/732

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 288/14,968/53,330/732

Given numbers are 288/14,968/53,330/732

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 288,968,330

Least Common Multiple of Numerators i.e. LCM of 288,968,330 is 174240.

GCF of Denominators means GCF of 14,53,732 as per the given fractions.

GCF of 14,53,732 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,968,330

LCM of Fractions 288/14,968/53,330/732 is 174240

2 288, 968, 330
2 144, 484, 165
2 72, 242, 165
3 36, 121, 165
11 12, 121, 55
12, 11, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 12 x 11 x 5 = 174240

Least Common Multiple of 288,968,330 with GCF Formula

Least Common Multiple of 288,968,330 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 288,968,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,968,330) = 2

common factors(in case of two or more numbers have common factors) = 264

GCF(288,968,330) x common factors =2 x 264 = 528

LCM(288,968,330) = ( 288 × 968 × 330 ) / 528

LCM(288,968,330) = 91998720 / 528

LCM(288,968,330) = 174240


Lets's calculate GCF of 14,53,732

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174240/1

Therefore the LCM of Fractions 288/14,968/53,330/732 is 174240

Greatest Common Factor of 14,53,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,53,732 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 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 14,53,732 . The biggest common factor number is the GCF number.
So the greatest common factor 14,53,732 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 288/14, 968/53, 330/732

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 288/14, 968/53, 330/732?

Answer: LCM of Numerators as per given numbers 288/14, 968/53, 330/732 is

LCM of Numerators i.e. for 288,968,330 is 174240

GCF of denominators i.e. for 14,53,732 is 1.

Thus, LCM of Fractions is 174240.Finally, LCM of Fractions for 288/14, 968/53, 330/732 is 174240.