Least Common Multiple of 94/30, 42/435, 338/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/30, 42/435, 338/936 quickly i.e. 111202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/30, 42/435, 338/936 is 111202.

LCM(94/30, 42/435, 338/936) = 111202

LCM of 94/30, 42/435, 338/936

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 94/30,42/435,338/936

Given numbers are 94/30,42/435,338/936

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 94,42,338

Least Common Multiple of Numerators i.e. LCM of 94,42,338 is 333606.

GCF of Denominators means GCF of 30,435,936 as per the given fractions.

GCF of 30,435,936 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,42,338

LCM of Fractions 94/30,42/435,338/936 is 111202

2 94, 42, 338
47, 21, 169

∴ So the LCM of the given numbers is 2 x 47 x 21 x 169 = 333606

Least Common Multiple of 94,42,338 with GCF Formula

Least Common Multiple of 94,42,338 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 94,42,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,42,338) = 2

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

GCF(94,42,338) x common factors =2 x 2 = 4

LCM(94,42,338) = ( 94 × 42 × 338 ) / 4

LCM(94,42,338) = 1334424 / 4

LCM(94,42,338) = 333606


Lets's calculate GCF of 30,435,936

3 30, 435, 936
10, 145, 312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 333606/3

Therefore the LCM of Fractions 94/30,42/435,338/936 is 111202

Greatest Common Factor of 30,435,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,435,936 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 435

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

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

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 30,435,936 . The biggest common factor number is the GCF number.
So the greatest common factor 30,435,936 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 94/30, 42/435, 338/936

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 94/30, 42/435, 338/936?

Answer: LCM of Numerators as per given numbers 94/30, 42/435, 338/936 is

LCM of Numerators i.e. for 94,42,338 is 333606

GCF of denominators i.e. for 30,435,936 is 3.

Thus, LCM of Fractions is 111202.Finally, LCM of Fractions for 94/30, 42/435, 338/936 is 111202.