Least Common Multiple of 16/218, 49/189, 322/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/218, 49/189, 322/935 quickly i.e. 18032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/218, 49/189, 322/935 is 18032.

LCM(16/218, 49/189, 322/935) = 18032

LCM of 16/218, 49/189, 322/935

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 16/218,49/189,322/935

Given numbers are 16/218,49/189,322/935

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 16,49,322

Least Common Multiple of Numerators i.e. LCM of 16,49,322 is 18032.

GCF of Denominators means GCF of 218,189,935 as per the given fractions.

GCF of 218,189,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,49,322

LCM of Fractions 16/218,49/189,322/935 is 18032

2 16, 49, 322
7 8, 49, 161
8, 7, 23

∴ So the LCM of the given numbers is 2 x 7 x 8 x 7 x 23 = 18032

Least Common Multiple of 16,49,322 with GCF Formula

Least Common Multiple of 16,49,322 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 16,49,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,49,322) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(16,49,322) x common factors =1 x 14 = 14

LCM(16,49,322) = ( 16 × 49 × 322 ) / 14

LCM(16,49,322) = 252448 / 14

LCM(16,49,322) = 18032


Lets's calculate GCF of 218,189,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18032/1

Therefore the LCM of Fractions 16/218,49/189,322/935 is 18032

Greatest Common Factor of 218,189,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 218,189,935 By Matching Biggest Common Factor Method

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 218,189,935 . The biggest common factor number is the GCF number.
So the greatest common factor 218,189,935 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 16/218, 49/189, 322/935

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 16/218, 49/189, 322/935?

Answer: LCM of Numerators as per given numbers 16/218, 49/189, 322/935 is

LCM of Numerators i.e. for 16,49,322 is 18032

GCF of denominators i.e. for 218,189,935 is 1.

Thus, LCM of Fractions is 18032.Finally, LCM of Fractions for 16/218, 49/189, 322/935 is 18032.