Least Common Multiple of 42/185, 93/162, 412/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/185, 93/162, 412/238 quickly i.e. 268212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/185, 93/162, 412/238 is 268212.

LCM(42/185, 93/162, 412/238) = 268212

LCM of 42/185, 93/162, 412/238

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 42/185,93/162,412/238

Given numbers are 42/185,93/162,412/238

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 42,93,412

Least Common Multiple of Numerators i.e. LCM of 42,93,412 is 268212.

GCF of Denominators means GCF of 185,162,238 as per the given fractions.

GCF of 185,162,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,93,412

LCM of Fractions 42/185,93/162,412/238 is 268212

2 42, 93, 412
3 21, 93, 206
7, 31, 206

∴ So the LCM of the given numbers is 2 x 3 x 7 x 31 x 206 = 268212

Least Common Multiple of 42,93,412 with GCF Formula

Least Common Multiple of 42,93,412 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 42,93,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,93,412) = 1

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

GCF(42,93,412) x common factors =1 x 6 = 6

LCM(42,93,412) = ( 42 × 93 × 412 ) / 6

LCM(42,93,412) = 1609272 / 6

LCM(42,93,412) = 268212


Lets's calculate GCF of 185,162,238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268212/1

Therefore the LCM of Fractions 42/185,93/162,412/238 is 268212

Greatest Common Factor of 185,162,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,162,238 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 185,162,238 . The biggest common factor number is the GCF number.
So the greatest common factor 185,162,238 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 42/185, 93/162, 412/238

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 42/185, 93/162, 412/238?

Answer: LCM of Numerators as per given numbers 42/185, 93/162, 412/238 is

LCM of Numerators i.e. for 42,93,412 is 268212

GCF of denominators i.e. for 185,162,238 is 1.

Thus, LCM of Fractions is 268212.Finally, LCM of Fractions for 42/185, 93/162, 412/238 is 268212.