Least Common Multiple of 271/57, 2435/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 271/57, 2435/196 quickly i.e. 659885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 271/57, 2435/196 is 659885.

LCM(271/57, 2435/196) = 659885

LCM of 271/57, 2435/196

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 271/57,2435/196

Given numbers are 271/57,2435/196

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 271,2435

Least Common Multiple of Numerators i.e. LCM of 271,2435 is 659885.

GCF of Denominators means GCF of 57,196 as per the given fractions.

GCF of 57,196 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 271,2435

LCM of Fractions 271/57,2435/196 is 659885

Given numbers has no common factors except 1. So, there LCM is their product i.e 659885

Least Common Multiple of 271,2435 with GCF Formula

Least Common Multiple of 271,2435 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 271,2435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,2435) = 1

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

GCF(271,2435) x common factors =1 x 1 = 1

LCM(271,2435) = ( 271 × 2435 ) / 1

LCM(271,2435) = 659885 / 1

LCM(271,2435) = 659885


Lets's calculate GCF of 57,196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 659885/1

Therefore the LCM of Fractions 271/57,2435/196 is 659885

Greatest Common Factor of 57,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,196 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 57,196 . The biggest common factor number is the GCF number.
So the greatest common factor 57,196 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 271/57, 2435/196

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 271/57, 2435/196?

Answer: LCM of Numerators as per given numbers 271/57, 2435/196 is

LCM of Numerators i.e. for 271,2435 is 659885

GCF of denominators i.e. for 57,196 is 1.

Thus, LCM of Fractions is 659885.Finally, LCM of Fractions for 271/57, 2435/196 is 659885.