Least Common Multiple of 35/386, 85/339, 238/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/386, 85/339, 238/162 quickly i.e. 1190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/386, 85/339, 238/162 is 1190.

LCM(35/386, 85/339, 238/162) = 1190

LCM of 35/386, 85/339, 238/162

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 35/386,85/339,238/162

Given numbers are 35/386,85/339,238/162

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 35,85,238

Least Common Multiple of Numerators i.e. LCM of 35,85,238 is 1190.

GCF of Denominators means GCF of 386,339,162 as per the given fractions.

GCF of 386,339,162 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,85,238

LCM of Fractions 35/386,85/339,238/162 is 1190

5 35, 85, 238
7 7, 17, 238
17 1, 17, 34
1, 1, 2

∴ So the LCM of the given numbers is 5 x 7 x 17 x 1 x 1 x 2 = 1190

Least Common Multiple of 35,85,238 with GCF Formula

Least Common Multiple of 35,85,238 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 35,85,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,85,238) = 1

common factors(in case of two or more numbers have common factors) = 595

GCF(35,85,238) x common factors =1 x 595 = 595

LCM(35,85,238) = ( 35 × 85 × 238 ) / 595

LCM(35,85,238) = 708050 / 595

LCM(35,85,238) = 1190


Lets's calculate GCF of 386,339,162

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1190/1

Therefore the LCM of Fractions 35/386,85/339,238/162 is 1190

Greatest Common Factor of 386,339,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,339,162 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

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

Greatest Common Factor

We found the factors 386,339,162 . The biggest common factor number is the GCF number.
So the greatest common factor 386,339,162 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 35/386, 85/339, 238/162

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 35/386, 85/339, 238/162?

Answer: LCM of Numerators as per given numbers 35/386, 85/339, 238/162 is

LCM of Numerators i.e. for 35,85,238 is 1190

GCF of denominators i.e. for 386,339,162 is 1.

Thus, LCM of Fractions is 1190.Finally, LCM of Fractions for 35/386, 85/339, 238/162 is 1190.