Least Common Multiple of 16/49, 17/73, 43/51, 49/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/49, 17/73, 43/51, 49/382 quickly i.e. 573104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/49, 17/73, 43/51, 49/382 is 573104.

LCM(16/49, 17/73, 43/51, 49/382) = 573104

LCM of 16/49, 17/73, 43/51, 49/382

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 16/49,17/73,43/51,49/382

Given numbers are 16/49,17/73,43/51,49/382

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 16,17,43,49

Least Common Multiple of Numerators i.e. LCM of 16,17,43,49 is 573104.

GCF of Denominators means GCF of 49,73,51,382 as per the given fractions.

GCF of 49,73,51,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,17,43,49

LCM of Fractions 16/49,17/73,43/51,49/382 is 573104

Given numbers has no common factors except 1. So, there LCM is their product i.e 573104

Least Common Multiple of 16,17,43,49 with GCF Formula

Least Common Multiple of 16,17,43,49 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 16,17,43,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,17,43,49) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(16,17,43,49) x common factors =1 x 1 = 1

LCM(16,17,43,49) = ( 16 × 17 × 43 × 49 ) / 1

LCM(16,17,43,49) = 573104 / 1

LCM(16,17,43,49) = 573104


Lets's calculate GCF of 49,73,51,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 573104/1

Therefore the LCM of Fractions 16/49,17/73,43/51,49/382 is 573104

Greatest Common Factor of 49,73,51,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,73,51,382 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Greatest Common Factor

We found the factors 49,73,51,382 . The biggest common factor number is the GCF number.
So the greatest common factor 49,73,51,382 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 16/49, 17/73, 43/51, 49/382

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 16/49, 17/73, 43/51, 49/382?

Answer: LCM of Numerators as per given numbers 16/49, 17/73, 43/51, 49/382 is

LCM of Numerators i.e. for 16,17,43,49 is 573104

GCF of denominators i.e. for 49,73,51,382 is 1.

Thus, LCM of Fractions is 573104.Finally, LCM of Fractions for 16/49, 17/73, 43/51, 49/382 is 573104.