Least Common Multiple of 3684/266, 4716/4691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3684/266, 4716/4691 quickly i.e. 1447812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3684/266, 4716/4691 is 1447812.

LCM(3684/266, 4716/4691) = 1447812

LCM of 3684/266, 4716/4691

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 3684/266,4716/4691

Given numbers are 3684/266,4716/4691

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 3684,4716

Least Common Multiple of Numerators i.e. LCM of 3684,4716 is 1447812.

GCF of Denominators means GCF of 266,4691 as per the given fractions.

GCF of 266,4691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3684,4716

LCM of Fractions 3684/266,4716/4691 is 1447812

2 3684, 4716
2 1842, 2358
3 921, 1179
307, 393

∴ So the LCM of the given numbers is 2 x 2 x 3 x 307 x 393 = 1447812

Least Common Multiple of 3684,4716 with GCF Formula

Least Common Multiple of 3684,4716 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 3684,4716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3684,4716) = 12

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

GCF(3684,4716) x common factors =12 x 1 = 12

LCM(3684,4716) = ( 3684 × 4716 ) / 12

LCM(3684,4716) = 17373744 / 12

LCM(3684,4716) = 1447812


Lets's calculate GCF of 266,4691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1447812/1

Therefore the LCM of Fractions 3684/266,4716/4691 is 1447812

Greatest Common Factor of 266,4691 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,4691 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 4691

List of positive integer factors of 4691 that divides 4691 without a remainder.

1,4691

Greatest Common Factor

We found the factors 266,4691 . The biggest common factor number is the GCF number.
So the greatest common factor 266,4691 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 3684/266, 4716/4691

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 3684/266, 4716/4691?

Answer: LCM of Numerators as per given numbers 3684/266, 4716/4691 is

LCM of Numerators i.e. for 3684,4716 is 1447812

GCF of denominators i.e. for 266,4691 is 1.

Thus, LCM of Fractions is 1447812.Finally, LCM of Fractions for 3684/266, 4716/4691 is 1447812.