Least Common Multiple of 3824/156, 7145/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3824/156, 7145/143 quickly i.e. 27322480/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3824/156, 7145/143 is 27322480/13.

LCM(3824/156, 7145/143) = 27322480/13

LCM of 3824/156, 7145/143

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 3824/156,7145/143

Given numbers are 3824/156,7145/143

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 3824,7145

Least Common Multiple of Numerators i.e. LCM of 3824,7145 is 27322480.

GCF of Denominators means GCF of 156,143 as per the given fractions.

GCF of 156,143 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3824,7145

LCM of Fractions 3824/156,7145/143 is 27322480/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 27322480

Least Common Multiple of 3824,7145 with GCF Formula

Least Common Multiple of 3824,7145 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 3824,7145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3824,7145) = 1

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

GCF(3824,7145) x common factors =1 x 1 = 1

LCM(3824,7145) = ( 3824 × 7145 ) / 1

LCM(3824,7145) = 27322480 / 1

LCM(3824,7145) = 27322480


Lets's calculate GCF of 156,143

13 156, 143
12, 11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27322480/13

Therefore the LCM of Fractions 3824/156,7145/143 is 27322480/13

Greatest Common Factor of 156,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,143 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

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 156,143 . The biggest common factor number is the GCF number.
So the greatest common factor 156,143 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 3824/156, 7145/143

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 3824/156, 7145/143?

Answer: LCM of Numerators as per given numbers 3824/156, 7145/143 is

LCM of Numerators i.e. for 3824,7145 is 27322480

GCF of denominators i.e. for 156,143 is 13.

Thus, LCM of Fractions is 27322480/13.Finally, LCM of Fractions for 3824/156, 7145/143 is 27322480/13.