Least Common Multiple of 16/222, 77/138, 279/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/222, 77/138, 279/511 quickly i.e. 343728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/222, 77/138, 279/511 is 343728.

LCM(16/222, 77/138, 279/511) = 343728

LCM of 16/222, 77/138, 279/511

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 16/222,77/138,279/511

Given numbers are 16/222,77/138,279/511

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 16,77,279

Least Common Multiple of Numerators i.e. LCM of 16,77,279 is 343728.

GCF of Denominators means GCF of 222,138,511 as per the given fractions.

GCF of 222,138,511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,77,279

LCM of Fractions 16/222,77/138,279/511 is 343728

Given numbers has no common factors except 1. So, there LCM is their product i.e 343728

Least Common Multiple of 16,77,279 with GCF Formula

Least Common Multiple of 16,77,279 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 16,77,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,77,279) = 1

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

GCF(16,77,279) x common factors =1 x 1 = 1

LCM(16,77,279) = ( 16 × 77 × 279 ) / 1

LCM(16,77,279) = 343728 / 1

LCM(16,77,279) = 343728


Lets's calculate GCF of 222,138,511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343728/1

Therefore the LCM of Fractions 16/222,77/138,279/511 is 343728

Greatest Common Factor of 222,138,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,138,511 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 222,138,511 . The biggest common factor number is the GCF number.
So the greatest common factor 222,138,511 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 16/222, 77/138, 279/511

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 16/222, 77/138, 279/511?

Answer: LCM of Numerators as per given numbers 16/222, 77/138, 279/511 is

LCM of Numerators i.e. for 16,77,279 is 343728

GCF of denominators i.e. for 222,138,511 is 1.

Thus, LCM of Fractions is 343728.Finally, LCM of Fractions for 16/222, 77/138, 279/511 is 343728.