Least Common Multiple of 271/164, 5210/5898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 271/164, 5210/5898 quickly i.e. 705955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/164, 5210/5898 is 705955.

LCM(271/164, 5210/5898) = 705955

LCM of 271/164, 5210/5898

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 271/164,5210/5898

Given numbers are 271/164,5210/5898

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 271,5210

Least Common Multiple of Numerators i.e. LCM of 271,5210 is 1411910.

GCF of Denominators means GCF of 164,5898 as per the given fractions.

GCF of 164,5898 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,5210

LCM of Fractions 271/164,5210/5898 is 705955

Given numbers has no common factors except 1. So, there LCM is their product i.e 1411910

Least Common Multiple of 271,5210 with GCF Formula

Least Common Multiple of 271,5210 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 271,5210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,5210) = 1

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

GCF(271,5210) x common factors =1 x 1 = 1

LCM(271,5210) = ( 271 × 5210 ) / 1

LCM(271,5210) = 1411910 / 1

LCM(271,5210) = 1411910


Lets's calculate GCF of 164,5898

2 164, 5898
82, 2949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1411910/2

Therefore the LCM of Fractions 271/164,5210/5898 is 705955

Greatest Common Factor of 164,5898 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,5898 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 5898

List of positive integer factors of 5898 that divides 5898 without a remainder.

1,2,3,6,983,1966,2949,5898

Greatest Common Factor

We found the factors 164,5898 . The biggest common factor number is the GCF number.
So the greatest common factor 164,5898 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 271/164, 5210/5898

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 271/164, 5210/5898?

Answer: LCM of Numerators as per given numbers 271/164, 5210/5898 is

LCM of Numerators i.e. for 271,5210 is 1411910

GCF of denominators i.e. for 164,5898 is 2.

Thus, LCM of Fractions is 705955.Finally, LCM of Fractions for 271/164, 5210/5898 is 705955.