Least Common Multiple of 3904/364, 2246/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3904/364, 2246/143 quickly i.e. 4384192/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3904/364, 2246/143 is 4384192/13.

LCM(3904/364, 2246/143) = 4384192/13

LCM of 3904/364, 2246/143

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 3904/364,2246/143

Given numbers are 3904/364,2246/143

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 3904,2246

Least Common Multiple of Numerators i.e. LCM of 3904,2246 is 4384192.

GCF of Denominators means GCF of 364,143 as per the given fractions.

GCF of 364,143 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3904,2246

LCM of Fractions 3904/364,2246/143 is 4384192/13

2 3904, 2246
1952, 1123

∴ So the LCM of the given numbers is 2 x 1952 x 1123 = 4384192

Least Common Multiple of 3904,2246 with GCF Formula

Least Common Multiple of 3904,2246 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 3904,2246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3904,2246) = 2

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

GCF(3904,2246) x common factors =2 x 1 = 2

LCM(3904,2246) = ( 3904 × 2246 ) / 2

LCM(3904,2246) = 8768384 / 2

LCM(3904,2246) = 4384192


Lets's calculate GCF of 364,143

13 364, 143
28, 11

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4384192/13

Therefore the LCM of Fractions 3904/364,2246/143 is 4384192/13

Greatest Common Factor of 364,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,143 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 364,143 . The biggest common factor number is the GCF number.
So the greatest common factor 364,143 is 13.


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 3904/364, 2246/143

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 3904/364, 2246/143?

Answer: LCM of Numerators as per given numbers 3904/364, 2246/143 is

LCM of Numerators i.e. for 3904,2246 is 4384192

GCF of denominators i.e. for 364,143 is 13.

Thus, LCM of Fractions is 4384192/13.Finally, LCM of Fractions for 3904/364, 2246/143 is 4384192/13.