Least Common Multiple of 3/282, 73/340, 54/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/282, 73/340, 54/672 quickly i.e. 1971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/282, 73/340, 54/672 is 1971.

LCM(3/282, 73/340, 54/672) = 1971

LCM of 3/282, 73/340, 54/672

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 3/282,73/340,54/672

Given numbers are 3/282,73/340,54/672

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 3,73,54

Least Common Multiple of Numerators i.e. LCM of 3,73,54 is 3942.

GCF of Denominators means GCF of 282,340,672 as per the given fractions.

GCF of 282,340,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,73,54

LCM of Fractions 3/282,73/340,54/672 is 1971

3 3, 73, 54
1, 73, 18

∴ So the LCM of the given numbers is 3 x 1 x 73 x 18 = 3942

Least Common Multiple of 3,73,54 with GCF Formula

Least Common Multiple of 3,73,54 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 3,73,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,73,54) = 1

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

GCF(3,73,54) x common factors =1 x 3 = 3

LCM(3,73,54) = ( 3 × 73 × 54 ) / 3

LCM(3,73,54) = 11826 / 3

LCM(3,73,54) = 3942


Lets's calculate GCF of 282,340,672

2 282, 340, 672
141, 170, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3942/2

Therefore the LCM of Fractions 3/282,73/340,54/672 is 1971

Greatest Common Factor of 282,340,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,340,672 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 282,340,672 . The biggest common factor number is the GCF number.
So the greatest common factor 282,340,672 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 3/282, 73/340, 54/672

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 3/282, 73/340, 54/672?

Answer: LCM of Numerators as per given numbers 3/282, 73/340, 54/672 is

LCM of Numerators i.e. for 3,73,54 is 3942

GCF of denominators i.e. for 282,340,672 is 2.

Thus, LCM of Fractions is 1971.Finally, LCM of Fractions for 3/282, 73/340, 54/672 is 1971.