Least Common Multiple of 683/66, 4911/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/66, 4911/221 quickly i.e. 3354213 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/66, 4911/221 is 3354213.

LCM(683/66, 4911/221) = 3354213

LCM of 683/66, 4911/221

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 683/66,4911/221

Given numbers are 683/66,4911/221

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 683,4911

Least Common Multiple of Numerators i.e. LCM of 683,4911 is 3354213.

GCF of Denominators means GCF of 66,221 as per the given fractions.

GCF of 66,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,4911

LCM of Fractions 683/66,4911/221 is 3354213

Given numbers has no common factors except 1. So, there LCM is their product i.e 3354213

Least Common Multiple of 683,4911 with GCF Formula

Least Common Multiple of 683,4911 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 683,4911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,4911) = 1

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

GCF(683,4911) x common factors =1 x 1 = 1

LCM(683,4911) = ( 683 × 4911 ) / 1

LCM(683,4911) = 3354213 / 1

LCM(683,4911) = 3354213


Lets's calculate GCF of 66,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3354213/1

Therefore the LCM of Fractions 683/66,4911/221 is 3354213

Greatest Common Factor of 66,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,221 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 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 66,221 . The biggest common factor number is the GCF number.
So the greatest common factor 66,221 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 683/66, 4911/221

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 683/66, 4911/221?

Answer: LCM of Numerators as per given numbers 683/66, 4911/221 is

LCM of Numerators i.e. for 683,4911 is 3354213

GCF of denominators i.e. for 66,221 is 1.

Thus, LCM of Fractions is 3354213.Finally, LCM of Fractions for 683/66, 4911/221 is 3354213.