Least Common Multiple of 16/57, 67/333, 992/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 16/57, 67/333, 992/244 quickly i.e. 66464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/57, 67/333, 992/244 is 66464.

LCM(16/57, 67/333, 992/244) = 66464

LCM of 16/57, 67/333, 992/244

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 16/57,67/333,992/244

Given numbers are 16/57,67/333,992/244

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 16,67,992

Least Common Multiple of Numerators i.e. LCM of 16,67,992 is 66464.

GCF of Denominators means GCF of 57,333,244 as per the given fractions.

GCF of 57,333,244 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,67,992

LCM of Fractions 16/57,67/333,992/244 is 66464

2 16, 67, 992
2 8, 67, 496
2 4, 67, 248
2 2, 67, 124
1, 67, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 67 x 62 = 66464

Least Common Multiple of 16,67,992 with GCF Formula

Least Common Multiple of 16,67,992 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 16,67,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,67,992) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(16,67,992) x common factors =1 x 16 = 16

LCM(16,67,992) = ( 16 × 67 × 992 ) / 16

LCM(16,67,992) = 1063424 / 16

LCM(16,67,992) = 66464


Lets's calculate GCF of 57,333,244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66464/1

Therefore the LCM of Fractions 16/57,67/333,992/244 is 66464

Greatest Common Factor of 57,333,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,333,244 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 57,333,244 . The biggest common factor number is the GCF number.
So the greatest common factor 57,333,244 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 16/57, 67/333, 992/244

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 16/57, 67/333, 992/244?

Answer: LCM of Numerators as per given numbers 16/57, 67/333, 992/244 is

LCM of Numerators i.e. for 16,67,992 is 66464

GCF of denominators i.e. for 57,333,244 is 1.

Thus, LCM of Fractions is 66464.Finally, LCM of Fractions for 16/57, 67/333, 992/244 is 66464.