Least Common Multiple of 402/166, 550/314, 192/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/166, 550/314, 192/330 quickly i.e. 1768800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/166, 550/314, 192/330 is 1768800.

LCM(402/166, 550/314, 192/330) = 1768800

LCM of 402/166, 550/314, 192/330

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 402/166,550/314,192/330

Given numbers are 402/166,550/314,192/330

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 402,550,192

Least Common Multiple of Numerators i.e. LCM of 402,550,192 is 3537600.

GCF of Denominators means GCF of 166,314,330 as per the given fractions.

GCF of 166,314,330 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,550,192

LCM of Fractions 402/166,550/314,192/330 is 1768800

2 402, 550, 192
3 201, 275, 96
67, 275, 32

∴ So the LCM of the given numbers is 2 x 3 x 67 x 275 x 32 = 3537600

Least Common Multiple of 402,550,192 with GCF Formula

Least Common Multiple of 402,550,192 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 402,550,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,550,192) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(402,550,192) x common factors =2 x 6 = 12

LCM(402,550,192) = ( 402 × 550 × 192 ) / 12

LCM(402,550,192) = 42451200 / 12

LCM(402,550,192) = 3537600


Lets's calculate GCF of 166,314,330

2 166, 314, 330
83, 157, 165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3537600/2

Therefore the LCM of Fractions 402/166,550/314,192/330 is 1768800

Greatest Common Factor of 166,314,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,314,330 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

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 166,314,330 . The biggest common factor number is the GCF number.
So the greatest common factor 166,314,330 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 402/166, 550/314, 192/330

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 402/166, 550/314, 192/330?

Answer: LCM of Numerators as per given numbers 402/166, 550/314, 192/330 is

LCM of Numerators i.e. for 402,550,192 is 3537600

GCF of denominators i.e. for 166,314,330 is 2.

Thus, LCM of Fractions is 1768800.Finally, LCM of Fractions for 402/166, 550/314, 192/330 is 1768800.