Least Common Multiple of 271/14, 336/18, 139/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 271/14, 336/18, 139/770 quickly i.e. 6328392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/14, 336/18, 139/770 is 6328392.

LCM(271/14, 336/18, 139/770) = 6328392

LCM of 271/14, 336/18, 139/770

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 271/14,336/18,139/770

Given numbers are 271/14,336/18,139/770

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 271,336,139

Least Common Multiple of Numerators i.e. LCM of 271,336,139 is 12656784.

GCF of Denominators means GCF of 14,18,770 as per the given fractions.

GCF of 14,18,770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,336,139

LCM of Fractions 271/14,336/18,139/770 is 6328392

Given numbers has no common factors except 1. So, there LCM is their product i.e 12656784

Least Common Multiple of 271,336,139 with GCF Formula

Least Common Multiple of 271,336,139 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 271,336,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,336,139) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(271,336,139) x common factors =1 x 1 = 1

LCM(271,336,139) = ( 271 × 336 × 139 ) / 1

LCM(271,336,139) = 12656784 / 1

LCM(271,336,139) = 12656784


Lets's calculate GCF of 14,18,770

2 14, 18, 770
7, 9, 385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12656784/2

Therefore the LCM of Fractions 271/14,336/18,139/770 is 6328392

Greatest Common Factor of 14,18,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,18,770 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 14,18,770 . The biggest common factor number is the GCF number.
So the greatest common factor 14,18,770 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 271/14, 336/18, 139/770

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 271/14, 336/18, 139/770?

Answer: LCM of Numerators as per given numbers 271/14, 336/18, 139/770 is

LCM of Numerators i.e. for 271,336,139 is 12656784

GCF of denominators i.e. for 14,18,770 is 2.

Thus, LCM of Fractions is 6328392.Finally, LCM of Fractions for 271/14, 336/18, 139/770 is 6328392.