Least Common Multiple of 3969/296, 3636/4957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3969/296, 3636/4957 quickly i.e. 1603476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3969/296, 3636/4957 is 1603476.

LCM(3969/296, 3636/4957) = 1603476

LCM of 3969/296, 3636/4957

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 3969/296,3636/4957

Given numbers are 3969/296,3636/4957

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 3969,3636

Least Common Multiple of Numerators i.e. LCM of 3969,3636 is 1603476.

GCF of Denominators means GCF of 296,4957 as per the given fractions.

GCF of 296,4957 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3969,3636

LCM of Fractions 3969/296,3636/4957 is 1603476

3 3969, 3636
3 1323, 1212
441, 404

∴ So the LCM of the given numbers is 3 x 3 x 441 x 404 = 1603476

Least Common Multiple of 3969,3636 with GCF Formula

Least Common Multiple of 3969,3636 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 3969,3636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3969,3636) = 9

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

GCF(3969,3636) x common factors =9 x 1 = 9

LCM(3969,3636) = ( 3969 × 3636 ) / 9

LCM(3969,3636) = 14431284 / 9

LCM(3969,3636) = 1603476


Lets's calculate GCF of 296,4957

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1603476/1

Therefore the LCM of Fractions 3969/296,3636/4957 is 1603476

Greatest Common Factor of 296,4957 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,4957 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 4957

List of positive integer factors of 4957 that divides 4957 without a remainder.

1,4957

Greatest Common Factor

We found the factors 296,4957 . The biggest common factor number is the GCF number.
So the greatest common factor 296,4957 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 3969/296, 3636/4957

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 3969/296, 3636/4957?

Answer: LCM of Numerators as per given numbers 3969/296, 3636/4957 is

LCM of Numerators i.e. for 3969,3636 is 1603476

GCF of denominators i.e. for 296,4957 is 1.

Thus, LCM of Fractions is 1603476.Finally, LCM of Fractions for 3969/296, 3636/4957 is 1603476.