Least Common Multiple of 684/662, 327/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 684/662, 327/332 quickly i.e. 37278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/662, 327/332 is 37278.

LCM(684/662, 327/332) = 37278

LCM of 684/662, 327/332

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 684/662,327/332

Given numbers are 684/662,327/332

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 684,327

Least Common Multiple of Numerators i.e. LCM of 684,327 is 74556.

GCF of Denominators means GCF of 662,332 as per the given fractions.

GCF of 662,332 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,327

LCM of Fractions 684/662,327/332 is 37278

3 684, 327
228, 109

∴ So the LCM of the given numbers is 3 x 228 x 109 = 74556

Least Common Multiple of 684,327 with GCF Formula

Least Common Multiple of 684,327 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 684,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,327) = 3

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

GCF(684,327) x common factors =3 x 1 = 3

LCM(684,327) = ( 684 × 327 ) / 3

LCM(684,327) = 223668 / 3

LCM(684,327) = 74556


Lets's calculate GCF of 662,332

2 662, 332
331, 166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74556/2

Therefore the LCM of Fractions 684/662,327/332 is 37278

Greatest Common Factor of 662,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,332 By Matching Biggest Common Factor Method

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 662,332 . The biggest common factor number is the GCF number.
So the greatest common factor 662,332 is 2.


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 684/662, 327/332

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 684/662, 327/332?

Answer: LCM of Numerators as per given numbers 684/662, 327/332 is

LCM of Numerators i.e. for 684,327 is 74556

GCF of denominators i.e. for 662,332 is 2.

Thus, LCM of Fractions is 37278.Finally, LCM of Fractions for 684/662, 327/332 is 37278.