Least Common Multiple of 16/47, 54/34, 99/14, 40/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/47, 54/34, 99/14, 40/362 quickly i.e. 23760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/47, 54/34, 99/14, 40/362 is 23760.

LCM(16/47, 54/34, 99/14, 40/362) = 23760

LCM of 16/47, 54/34, 99/14, 40/362

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 16/47,54/34,99/14,40/362

Given numbers are 16/47,54/34,99/14,40/362

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 16,54,99,40

Least Common Multiple of Numerators i.e. LCM of 16,54,99,40 is 23760.

GCF of Denominators means GCF of 47,34,14,362 as per the given fractions.

GCF of 47,34,14,362 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,54,99,40

LCM of Fractions 16/47,54/34,99/14,40/362 is 23760

2 16, 54, 99, 40
2 8, 27, 99, 20
2 4, 27, 99, 10
3 2, 27, 99, 5
3 2, 9, 33, 5
2, 3, 11, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 2 x 3 x 11 x 5 = 23760

Least Common Multiple of 16,54,99,40 with GCF Formula

Least Common Multiple of 16,54,99,40 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 16,54,99,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,54,99,40) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(16,54,99,40) x common factors =1 x 144 = 144

LCM(16,54,99,40) = ( 16 × 54 × 99 × 40 ) / 144

LCM(16,54,99,40) = 3421440 / 144

LCM(16,54,99,40) = 23760


Lets's calculate GCF of 47,34,14,362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23760/1

Therefore the LCM of Fractions 16/47,54/34,99/14,40/362 is 23760

Greatest Common Factor of 47,34,14,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,34,14,362 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 362

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

1,2,181,362

Greatest Common Factor

We found the factors 47,34,14,362 . The biggest common factor number is the GCF number.
So the greatest common factor 47,34,14,362 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 16/47, 54/34, 99/14, 40/362

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 16/47, 54/34, 99/14, 40/362?

Answer: LCM of Numerators as per given numbers 16/47, 54/34, 99/14, 40/362 is

LCM of Numerators i.e. for 16,54,99,40 is 23760

GCF of denominators i.e. for 47,34,14,362 is 1.

Thus, LCM of Fractions is 23760.Finally, LCM of Fractions for 16/47, 54/34, 99/14, 40/362 is 23760.