Least Common Multiple of 336/44, 686/6736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 336/44, 686/6736 quickly i.e. 4116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/44, 686/6736 is 4116.

LCM(336/44, 686/6736) = 4116

LCM of 336/44, 686/6736

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 336/44,686/6736

Given numbers are 336/44,686/6736

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 336,686

Least Common Multiple of Numerators i.e. LCM of 336,686 is 16464.

GCF of Denominators means GCF of 44,6736 as per the given fractions.

GCF of 44,6736 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,686

LCM of Fractions 336/44,686/6736 is 4116

2 336, 686
7 168, 343
24, 49

∴ So the LCM of the given numbers is 2 x 7 x 24 x 49 = 16464

Least Common Multiple of 336,686 with GCF Formula

Least Common Multiple of 336,686 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 336,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,686) = 14

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

GCF(336,686) x common factors =14 x 1 = 14

LCM(336,686) = ( 336 × 686 ) / 14

LCM(336,686) = 230496 / 14

LCM(336,686) = 16464


Lets's calculate GCF of 44,6736

2 44, 6736
2 22, 3368
11, 1684

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16464/4

Therefore the LCM of Fractions 336/44,686/6736 is 4116

Greatest Common Factor of 44,6736 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,6736 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 6736

List of positive integer factors of 6736 that divides 6736 without a remainder.

1,2,4,8,16,421,842,1684,3368,6736

Greatest Common Factor

We found the factors 44,6736 . The biggest common factor number is the GCF number.
So the greatest common factor 44,6736 is 4.


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 336/44, 686/6736

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 336/44, 686/6736?

Answer: LCM of Numerators as per given numbers 336/44, 686/6736 is

LCM of Numerators i.e. for 336,686 is 16464

GCF of denominators i.e. for 44,6736 is 4.

Thus, LCM of Fractions is 4116.Finally, LCM of Fractions for 336/44, 686/6736 is 4116.