Least Common Multiple of 46/33, 49/42, 204/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/33, 49/42, 204/435 quickly i.e. 76636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/33, 49/42, 204/435 is 76636.

LCM(46/33, 49/42, 204/435) = 76636

LCM of 46/33, 49/42, 204/435

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 46/33,49/42,204/435

Given numbers are 46/33,49/42,204/435

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 46,49,204

Least Common Multiple of Numerators i.e. LCM of 46,49,204 is 229908.

GCF of Denominators means GCF of 33,42,435 as per the given fractions.

GCF of 33,42,435 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,49,204

LCM of Fractions 46/33,49/42,204/435 is 76636

2 46, 49, 204
23, 49, 102

∴ So the LCM of the given numbers is 2 x 23 x 49 x 102 = 229908

Least Common Multiple of 46,49,204 with GCF Formula

Least Common Multiple of 46,49,204 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 46,49,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,49,204) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(46,49,204) x common factors =1 x 2 = 2

LCM(46,49,204) = ( 46 × 49 × 204 ) / 2

LCM(46,49,204) = 459816 / 2

LCM(46,49,204) = 229908


Lets's calculate GCF of 33,42,435

3 33, 42, 435
11, 14, 145

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229908/3

Therefore the LCM of Fractions 46/33,49/42,204/435 is 76636

Greatest Common Factor of 33,42,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,42,435 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 33,42,435 . The biggest common factor number is the GCF number.
So the greatest common factor 33,42,435 is 3.


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 46/33, 49/42, 204/435

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 46/33, 49/42, 204/435?

Answer: LCM of Numerators as per given numbers 46/33, 49/42, 204/435 is

LCM of Numerators i.e. for 46,49,204 is 229908

GCF of denominators i.e. for 33,42,435 is 3.

Thus, LCM of Fractions is 76636.Finally, LCM of Fractions for 46/33, 49/42, 204/435 is 76636.