Least Common Multiple of 3686/436, 4704/4268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3686/436, 4704/4268 quickly i.e. 2167368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3686/436, 4704/4268 is 2167368.

LCM(3686/436, 4704/4268) = 2167368

LCM of 3686/436, 4704/4268

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 3686/436,4704/4268

Given numbers are 3686/436,4704/4268

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 3686,4704

Least Common Multiple of Numerators i.e. LCM of 3686,4704 is 8669472.

GCF of Denominators means GCF of 436,4268 as per the given fractions.

GCF of 436,4268 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3686,4704

LCM of Fractions 3686/436,4704/4268 is 2167368

2 3686, 4704
1843, 2352

∴ So the LCM of the given numbers is 2 x 1843 x 2352 = 8669472

Least Common Multiple of 3686,4704 with GCF Formula

Least Common Multiple of 3686,4704 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 3686,4704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3686,4704) = 2

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

GCF(3686,4704) x common factors =2 x 1 = 2

LCM(3686,4704) = ( 3686 × 4704 ) / 2

LCM(3686,4704) = 17338944 / 2

LCM(3686,4704) = 8669472


Lets's calculate GCF of 436,4268

2 436, 4268
2 218, 2134
109, 1067

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8669472/4

Therefore the LCM of Fractions 3686/436,4704/4268 is 2167368

Greatest Common Factor of 436,4268 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,4268 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 4268

List of positive integer factors of 4268 that divides 4268 without a remainder.

1,2,4,11,22,44,97,194,388,1067,2134,4268

Greatest Common Factor

We found the factors 436,4268 . The biggest common factor number is the GCF number.
So the greatest common factor 436,4268 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 3686/436, 4704/4268

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 3686/436, 4704/4268?

Answer: LCM of Numerators as per given numbers 3686/436, 4704/4268 is

LCM of Numerators i.e. for 3686,4704 is 8669472

GCF of denominators i.e. for 436,4268 is 4.

Thus, LCM of Fractions is 2167368.Finally, LCM of Fractions for 3686/436, 4704/4268 is 2167368.