Least Common Multiple of 27/83, 14/979, 461/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/83, 14/979, 461/839 quickly i.e. 174258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/83, 14/979, 461/839 is 174258.

LCM(27/83, 14/979, 461/839) = 174258

LCM of 27/83, 14/979, 461/839

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 27/83,14/979,461/839

Given numbers are 27/83,14/979,461/839

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 27,14,461

Least Common Multiple of Numerators i.e. LCM of 27,14,461 is 174258.

GCF of Denominators means GCF of 83,979,839 as per the given fractions.

GCF of 83,979,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,14,461

LCM of Fractions 27/83,14/979,461/839 is 174258

Given numbers has no common factors except 1. So, there LCM is their product i.e 174258

Least Common Multiple of 27,14,461 with GCF Formula

Least Common Multiple of 27,14,461 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 27,14,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,14,461) = 1

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

GCF(27,14,461) x common factors =1 x 1 = 1

LCM(27,14,461) = ( 27 × 14 × 461 ) / 1

LCM(27,14,461) = 174258 / 1

LCM(27,14,461) = 174258


Lets's calculate GCF of 83,979,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174258/1

Therefore the LCM of Fractions 27/83,14/979,461/839 is 174258

Greatest Common Factor of 83,979,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,979,839 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 83,979,839 . The biggest common factor number is the GCF number.
So the greatest common factor 83,979,839 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 27/83, 14/979, 461/839

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 27/83, 14/979, 461/839?

Answer: LCM of Numerators as per given numbers 27/83, 14/979, 461/839 is

LCM of Numerators i.e. for 27,14,461 is 174258

GCF of denominators i.e. for 83,979,839 is 1.

Thus, LCM of Fractions is 174258.Finally, LCM of Fractions for 27/83, 14/979, 461/839 is 174258.