Least Common Multiple of 3/284, 84/574, 51/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/284, 84/574, 51/874 quickly i.e. 714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/284, 84/574, 51/874 is 714.

LCM(3/284, 84/574, 51/874) = 714

LCM of 3/284, 84/574, 51/874

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 3/284,84/574,51/874

Given numbers are 3/284,84/574,51/874

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 3,84,51

Least Common Multiple of Numerators i.e. LCM of 3,84,51 is 1428.

GCF of Denominators means GCF of 284,574,874 as per the given fractions.

GCF of 284,574,874 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,84,51

LCM of Fractions 3/284,84/574,51/874 is 714

3 3, 84, 51
1, 28, 17

∴ So the LCM of the given numbers is 3 x 1 x 28 x 17 = 1428

Least Common Multiple of 3,84,51 with GCF Formula

Least Common Multiple of 3,84,51 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 3,84,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,84,51) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(3,84,51) x common factors =3 x 3 = 9

LCM(3,84,51) = ( 3 × 84 × 51 ) / 9

LCM(3,84,51) = 12852 / 9

LCM(3,84,51) = 1428


Lets's calculate GCF of 284,574,874

2 284, 574, 874
142, 287, 437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1428/2

Therefore the LCM of Fractions 3/284,84/574,51/874 is 714

Greatest Common Factor of 284,574,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,574,874 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 284,574,874 . The biggest common factor number is the GCF number.
So the greatest common factor 284,574,874 is 2.


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 3/284, 84/574, 51/874

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 3/284, 84/574, 51/874?

Answer: LCM of Numerators as per given numbers 3/284, 84/574, 51/874 is

LCM of Numerators i.e. for 3,84,51 is 1428

GCF of denominators i.e. for 284,574,874 is 2.

Thus, LCM of Fractions is 714.Finally, LCM of Fractions for 3/284, 84/574, 51/874 is 714.