Least Common Multiple of 16/438, 81/204, 840/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/438, 81/204, 840/709 quickly i.e. 45360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/438, 81/204, 840/709 is 45360.

LCM(16/438, 81/204, 840/709) = 45360

LCM of 16/438, 81/204, 840/709

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 16/438,81/204,840/709

Given numbers are 16/438,81/204,840/709

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 16,81,840

Least Common Multiple of Numerators i.e. LCM of 16,81,840 is 45360.

GCF of Denominators means GCF of 438,204,709 as per the given fractions.

GCF of 438,204,709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,81,840

LCM of Fractions 16/438,81/204,840/709 is 45360

2 16, 81, 840
2 8, 81, 420
2 4, 81, 210
3 2, 81, 105
2, 27, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 27 x 35 = 45360

Least Common Multiple of 16,81,840 with GCF Formula

Least Common Multiple of 16,81,840 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 16,81,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,81,840) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(16,81,840) x common factors =1 x 24 = 24

LCM(16,81,840) = ( 16 × 81 × 840 ) / 24

LCM(16,81,840) = 1088640 / 24

LCM(16,81,840) = 45360


Lets's calculate GCF of 438,204,709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45360/1

Therefore the LCM of Fractions 16/438,81/204,840/709 is 45360

Greatest Common Factor of 438,204,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,204,709 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 438,204,709 . The biggest common factor number is the GCF number.
So the greatest common factor 438,204,709 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 16/438, 81/204, 840/709

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 16/438, 81/204, 840/709?

Answer: LCM of Numerators as per given numbers 16/438, 81/204, 840/709 is

LCM of Numerators i.e. for 16,81,840 is 45360

GCF of denominators i.e. for 438,204,709 is 1.

Thus, LCM of Fractions is 45360.Finally, LCM of Fractions for 16/438, 81/204, 840/709 is 45360.