Least Common Multiple of 55/56, 80/14, 69/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/56, 80/14, 69/330 quickly i.e. 30360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/56, 80/14, 69/330 is 30360.

LCM(55/56, 80/14, 69/330) = 30360

LCM of 55/56, 80/14, 69/330

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 55/56,80/14,69/330

Given numbers are 55/56,80/14,69/330

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 55,80,69

Least Common Multiple of Numerators i.e. LCM of 55,80,69 is 60720.

GCF of Denominators means GCF of 56,14,330 as per the given fractions.

GCF of 56,14,330 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,80,69

LCM of Fractions 55/56,80/14,69/330 is 30360

5 55, 80, 69
11, 16, 69

∴ So the LCM of the given numbers is 5 x 11 x 16 x 69 = 60720

Least Common Multiple of 55,80,69 with GCF Formula

Least Common Multiple of 55,80,69 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 55,80,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,80,69) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,80,69) x common factors =1 x 5 = 5

LCM(55,80,69) = ( 55 × 80 × 69 ) / 5

LCM(55,80,69) = 303600 / 5

LCM(55,80,69) = 60720


Lets's calculate GCF of 56,14,330

2 56, 14, 330
28, 7, 165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60720/2

Therefore the LCM of Fractions 55/56,80/14,69/330 is 30360

Greatest Common Factor of 56,14,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,14,330 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 14

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

1,2,7,14

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 56,14,330 . The biggest common factor number is the GCF number.
So the greatest common factor 56,14,330 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 55/56, 80/14, 69/330

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 55/56, 80/14, 69/330?

Answer: LCM of Numerators as per given numbers 55/56, 80/14, 69/330 is

LCM of Numerators i.e. for 55,80,69 is 60720

GCF of denominators i.e. for 56,14,330 is 2.

Thus, LCM of Fractions is 30360.Finally, LCM of Fractions for 55/56, 80/14, 69/330 is 30360.