Least Common Multiple of 668/33, 703/31, 214/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 668/33, 703/31, 214/661 quickly i.e. 50247628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 668/33, 703/31, 214/661 is 50247628.

LCM(668/33, 703/31, 214/661) = 50247628

LCM of 668/33, 703/31, 214/661

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 668/33,703/31,214/661

Given numbers are 668/33,703/31,214/661

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 668,703,214

Least Common Multiple of Numerators i.e. LCM of 668,703,214 is 50247628.

GCF of Denominators means GCF of 33,31,661 as per the given fractions.

GCF of 33,31,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 668,703,214

LCM of Fractions 668/33,703/31,214/661 is 50247628

2 668, 703, 214
334, 703, 107

∴ So the LCM of the given numbers is 2 x 334 x 703 x 107 = 50247628

Least Common Multiple of 668,703,214 with GCF Formula

Least Common Multiple of 668,703,214 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 668,703,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,703,214) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(668,703,214) x common factors =1 x 2 = 2

LCM(668,703,214) = ( 668 × 703 × 214 ) / 2

LCM(668,703,214) = 100495256 / 2

LCM(668,703,214) = 50247628


Lets's calculate GCF of 33,31,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50247628/1

Therefore the LCM of Fractions 668/33,703/31,214/661 is 50247628

Greatest Common Factor of 33,31,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,31,661 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 33,31,661 . The biggest common factor number is the GCF number.
So the greatest common factor 33,31,661 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 668/33, 703/31, 214/661

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 668/33, 703/31, 214/661?

Answer: LCM of Numerators as per given numbers 668/33, 703/31, 214/661 is

LCM of Numerators i.e. for 668,703,214 is 50247628

GCF of denominators i.e. for 33,31,661 is 1.

Thus, LCM of Fractions is 50247628.Finally, LCM of Fractions for 668/33, 703/31, 214/661 is 50247628.