Least Common Multiple of 16/279, 6982/7037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/279, 6982/7037 quickly i.e. 55856/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/279, 6982/7037 is 55856/31.

LCM(16/279, 6982/7037) = 55856/31

LCM of 16/279, 6982/7037

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 16/279,6982/7037

Given numbers are 16/279,6982/7037

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 16,6982

Least Common Multiple of Numerators i.e. LCM of 16,6982 is 55856.

GCF of Denominators means GCF of 279,7037 as per the given fractions.

GCF of 279,7037 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,6982

LCM of Fractions 16/279,6982/7037 is 55856/31

2 16, 6982
8, 3491

∴ So the LCM of the given numbers is 2 x 8 x 3491 = 55856

Least Common Multiple of 16,6982 with GCF Formula

Least Common Multiple of 16,6982 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 16,6982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,6982) = 2

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

GCF(16,6982) x common factors =2 x 1 = 2

LCM(16,6982) = ( 16 × 6982 ) / 2

LCM(16,6982) = 111712 / 2

LCM(16,6982) = 55856


Lets's calculate GCF of 279,7037

31 279, 7037
9, 227

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55856/31

Therefore the LCM of Fractions 16/279,6982/7037 is 55856/31

Greatest Common Factor of 279,7037 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,7037 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 7037

List of positive integer factors of 7037 that divides 7037 without a remainder.

1,31,227,7037

Greatest Common Factor

We found the factors 279,7037 . The biggest common factor number is the GCF number.
So the greatest common factor 279,7037 is 31.


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 16/279, 6982/7037

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 16/279, 6982/7037?

Answer: LCM of Numerators as per given numbers 16/279, 6982/7037 is

LCM of Numerators i.e. for 16,6982 is 55856

GCF of denominators i.e. for 279,7037 is 31.

Thus, LCM of Fractions is 55856/31.Finally, LCM of Fractions for 16/279, 6982/7037 is 55856/31.