Least Common Multiple of 16/40, 40/362, 171/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/40, 40/362, 171/812 quickly i.e. 6840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/40, 40/362, 171/812 is 6840.

LCM(16/40, 40/362, 171/812) = 6840

LCM of 16/40, 40/362, 171/812

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 16/40,40/362,171/812

Given numbers are 16/40,40/362,171/812

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 16,40,171

Least Common Multiple of Numerators i.e. LCM of 16,40,171 is 13680.

GCF of Denominators means GCF of 40,362,812 as per the given fractions.

GCF of 40,362,812 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,40,171

LCM of Fractions 16/40,40/362,171/812 is 6840

2 16, 40, 171
2 8, 20, 171
2 4, 10, 171
2, 5, 171

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 171 = 13680

Least Common Multiple of 16,40,171 with GCF Formula

Least Common Multiple of 16,40,171 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 16,40,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,40,171) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(16,40,171) x common factors =1 x 8 = 8

LCM(16,40,171) = ( 16 × 40 × 171 ) / 8

LCM(16,40,171) = 109440 / 8

LCM(16,40,171) = 13680


Lets's calculate GCF of 40,362,812

2 40, 362, 812
20, 181, 406

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13680/2

Therefore the LCM of Fractions 16/40,40/362,171/812 is 6840

Greatest Common Factor of 40,362,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,362,812 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 40,362,812 . The biggest common factor number is the GCF number.
So the greatest common factor 40,362,812 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 16/40, 40/362, 171/812

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 16/40, 40/362, 171/812?

Answer: LCM of Numerators as per given numbers 16/40, 40/362, 171/812 is

LCM of Numerators i.e. for 16,40,171 is 13680

GCF of denominators i.e. for 40,362,812 is 2.

Thus, LCM of Fractions is 6840.Finally, LCM of Fractions for 16/40, 40/362, 171/812 is 6840.