Least Common Multiple of 212/66, 511/8731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/66, 511/8731 quickly i.e. 108332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/66, 511/8731 is 108332.

LCM(212/66, 511/8731) = 108332

LCM of 212/66, 511/8731

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 212/66,511/8731

Given numbers are 212/66,511/8731

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 212,511

Least Common Multiple of Numerators i.e. LCM of 212,511 is 108332.

GCF of Denominators means GCF of 66,8731 as per the given fractions.

GCF of 66,8731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,511

LCM of Fractions 212/66,511/8731 is 108332

Given numbers has no common factors except 1. So, there LCM is their product i.e 108332

Least Common Multiple of 212,511 with GCF Formula

Least Common Multiple of 212,511 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 212,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,511) = 1

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

GCF(212,511) x common factors =1 x 1 = 1

LCM(212,511) = ( 212 × 511 ) / 1

LCM(212,511) = 108332 / 1

LCM(212,511) = 108332


Lets's calculate GCF of 66,8731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108332/1

Therefore the LCM of Fractions 212/66,511/8731 is 108332

Greatest Common Factor of 66,8731 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,8731 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 8731

List of positive integer factors of 8731 that divides 8731 without a remainder.

1,8731

Greatest Common Factor

We found the factors 66,8731 . The biggest common factor number is the GCF number.
So the greatest common factor 66,8731 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 212/66, 511/8731

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 212/66, 511/8731?

Answer: LCM of Numerators as per given numbers 212/66, 511/8731 is

LCM of Numerators i.e. for 212,511 is 108332

GCF of denominators i.e. for 66,8731 is 1.

Thus, LCM of Fractions is 108332.Finally, LCM of Fractions for 212/66, 511/8731 is 108332.