Least Common Multiple of 727/133, 285/120, 678/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/133, 285/120, 678/330 quickly i.e. 46826070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/133, 285/120, 678/330 is 46826070.

LCM(727/133, 285/120, 678/330) = 46826070

LCM of 727/133, 285/120, 678/330

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 727/133,285/120,678/330

Given numbers are 727/133,285/120,678/330

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 727,285,678

Least Common Multiple of Numerators i.e. LCM of 727,285,678 is 46826070.

GCF of Denominators means GCF of 133,120,330 as per the given fractions.

GCF of 133,120,330 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,285,678

LCM of Fractions 727/133,285/120,678/330 is 46826070

3 727, 285, 678
727, 95, 226

∴ So the LCM of the given numbers is 3 x 727 x 95 x 226 = 46826070

Least Common Multiple of 727,285,678 with GCF Formula

Least Common Multiple of 727,285,678 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 727,285,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,285,678) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(727,285,678) x common factors =1 x 3 = 3

LCM(727,285,678) = ( 727 × 285 × 678 ) / 3

LCM(727,285,678) = 140478210 / 3

LCM(727,285,678) = 46826070


Lets's calculate GCF of 133,120,330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46826070/1

Therefore the LCM of Fractions 727/133,285/120,678/330 is 46826070

Greatest Common Factor of 133,120,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,120,330 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

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 133,120,330 . The biggest common factor number is the GCF number.
So the greatest common factor 133,120,330 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 727/133, 285/120, 678/330

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 727/133, 285/120, 678/330?

Answer: LCM of Numerators as per given numbers 727/133, 285/120, 678/330 is

LCM of Numerators i.e. for 727,285,678 is 46826070

GCF of denominators i.e. for 133,120,330 is 1.

Thus, LCM of Fractions is 46826070.Finally, LCM of Fractions for 727/133, 285/120, 678/330 is 46826070.