Least Common Multiple of 419/33, 389/27, 654/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 419/33, 389/27, 654/684 quickly i.e. 35532038 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/33, 389/27, 654/684 is 35532038.

LCM(419/33, 389/27, 654/684) = 35532038

LCM of 419/33, 389/27, 654/684

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 419/33,389/27,654/684

Given numbers are 419/33,389/27,654/684

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 419,389,654

Least Common Multiple of Numerators i.e. LCM of 419,389,654 is 106596114.

GCF of Denominators means GCF of 33,27,684 as per the given fractions.

GCF of 33,27,684 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,389,654

LCM of Fractions 419/33,389/27,654/684 is 35532038

Given numbers has no common factors except 1. So, there LCM is their product i.e 106596114

Least Common Multiple of 419,389,654 with GCF Formula

Least Common Multiple of 419,389,654 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 419,389,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,389,654) = 1

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

GCF(419,389,654) x common factors =1 x 1 = 1

LCM(419,389,654) = ( 419 × 389 × 654 ) / 1

LCM(419,389,654) = 106596114 / 1

LCM(419,389,654) = 106596114


Lets's calculate GCF of 33,27,684

3 33, 27, 684
11, 9, 228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106596114/3

Therefore the LCM of Fractions 419/33,389/27,654/684 is 35532038

Greatest Common Factor of 33,27,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,27,684 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 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 33,27,684 . The biggest common factor number is the GCF number.
So the greatest common factor 33,27,684 is 3.


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 419/33, 389/27, 654/684

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 419/33, 389/27, 654/684?

Answer: LCM of Numerators as per given numbers 419/33, 389/27, 654/684 is

LCM of Numerators i.e. for 419,389,654 is 106596114

GCF of denominators i.e. for 33,27,684 is 3.

Thus, LCM of Fractions is 35532038.Finally, LCM of Fractions for 419/33, 389/27, 654/684 is 35532038.