Least Common Multiple of 662/711, 646/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 662/711, 646/663 quickly i.e. 213826/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 662/711, 646/663 is 213826/3.

LCM(662/711, 646/663) = 213826/3

LCM of 662/711, 646/663

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 662/711,646/663

Given numbers are 662/711,646/663

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 662,646

Least Common Multiple of Numerators i.e. LCM of 662,646 is 213826.

GCF of Denominators means GCF of 711,663 as per the given fractions.

GCF of 711,663 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 662,646

LCM of Fractions 662/711,646/663 is 213826/3

2 662, 646
331, 323

∴ So the LCM of the given numbers is 2 x 331 x 323 = 213826

Least Common Multiple of 662,646 with GCF Formula

Least Common Multiple of 662,646 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 662,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,646) = 2

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

GCF(662,646) x common factors =2 x 1 = 2

LCM(662,646) = ( 662 × 646 ) / 2

LCM(662,646) = 427652 / 2

LCM(662,646) = 213826


Lets's calculate GCF of 711,663

3 711, 663
237, 221

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213826/3

Therefore the LCM of Fractions 662/711,646/663 is 213826/3

Greatest Common Factor of 711,663 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,663 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Greatest Common Factor

We found the factors 711,663 . The biggest common factor number is the GCF number.
So the greatest common factor 711,663 is 3.


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 662/711, 646/663

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 662/711, 646/663?

Answer: LCM of Numerators as per given numbers 662/711, 646/663 is

LCM of Numerators i.e. for 662,646 is 213826

GCF of denominators i.e. for 711,663 is 3.

Thus, LCM of Fractions is 213826/3.Finally, LCM of Fractions for 662/711, 646/663 is 213826/3.