Least Common Multiple of 33/212, 69/846, 178/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/212, 69/846, 178/518 quickly i.e. 67551 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/212, 69/846, 178/518 is 67551.

LCM(33/212, 69/846, 178/518) = 67551

LCM of 33/212, 69/846, 178/518

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 33/212,69/846,178/518

Given numbers are 33/212,69/846,178/518

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 33,69,178

Least Common Multiple of Numerators i.e. LCM of 33,69,178 is 135102.

GCF of Denominators means GCF of 212,846,518 as per the given fractions.

GCF of 212,846,518 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,69,178

LCM of Fractions 33/212,69/846,178/518 is 67551

3 33, 69, 178
11, 23, 178

∴ So the LCM of the given numbers is 3 x 11 x 23 x 178 = 135102

Least Common Multiple of 33,69,178 with GCF Formula

Least Common Multiple of 33,69,178 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 33,69,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,69,178) = 1

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

GCF(33,69,178) x common factors =1 x 3 = 3

LCM(33,69,178) = ( 33 × 69 × 178 ) / 3

LCM(33,69,178) = 405306 / 3

LCM(33,69,178) = 135102


Lets's calculate GCF of 212,846,518

2 212, 846, 518
106, 423, 259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135102/2

Therefore the LCM of Fractions 33/212,69/846,178/518 is 67551

Greatest Common Factor of 212,846,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,846,518 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 212,846,518 . The biggest common factor number is the GCF number.
So the greatest common factor 212,846,518 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 33/212, 69/846, 178/518

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 33/212, 69/846, 178/518?

Answer: LCM of Numerators as per given numbers 33/212, 69/846, 178/518 is

LCM of Numerators i.e. for 33,69,178 is 135102

GCF of denominators i.e. for 212,846,518 is 2.

Thus, LCM of Fractions is 67551.Finally, LCM of Fractions for 33/212, 69/846, 178/518 is 67551.