Least Common Multiple of 74/342, 16/287, 687/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/342, 16/287, 687/449 quickly i.e. 406704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/342, 16/287, 687/449 is 406704.

LCM(74/342, 16/287, 687/449) = 406704

LCM of 74/342, 16/287, 687/449

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 74/342,16/287,687/449

Given numbers are 74/342,16/287,687/449

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 74,16,687

Least Common Multiple of Numerators i.e. LCM of 74,16,687 is 406704.

GCF of Denominators means GCF of 342,287,449 as per the given fractions.

GCF of 342,287,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,16,687

LCM of Fractions 74/342,16/287,687/449 is 406704

2 74, 16, 687
37, 8, 687

∴ So the LCM of the given numbers is 2 x 37 x 8 x 687 = 406704

Least Common Multiple of 74,16,687 with GCF Formula

Least Common Multiple of 74,16,687 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 74,16,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,16,687) = 1

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

GCF(74,16,687) x common factors =1 x 2 = 2

LCM(74,16,687) = ( 74 × 16 × 687 ) / 2

LCM(74,16,687) = 813408 / 2

LCM(74,16,687) = 406704


Lets's calculate GCF of 342,287,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406704/1

Therefore the LCM of Fractions 74/342,16/287,687/449 is 406704

Greatest Common Factor of 342,287,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,287,449 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 342,287,449 . The biggest common factor number is the GCF number.
So the greatest common factor 342,287,449 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 74/342, 16/287, 687/449

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 74/342, 16/287, 687/449?

Answer: LCM of Numerators as per given numbers 74/342, 16/287, 687/449 is

LCM of Numerators i.e. for 74,16,687 is 406704

GCF of denominators i.e. for 342,287,449 is 1.

Thus, LCM of Fractions is 406704.Finally, LCM of Fractions for 74/342, 16/287, 687/449 is 406704.