Least Common Multiple of 14/156, 40/299, 845/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/156, 40/299, 845/232 quickly i.e. 47320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/156, 40/299, 845/232 is 47320.

LCM(14/156, 40/299, 845/232) = 47320

LCM of 14/156, 40/299, 845/232

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 14/156,40/299,845/232

Given numbers are 14/156,40/299,845/232

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 14,40,845

Least Common Multiple of Numerators i.e. LCM of 14,40,845 is 47320.

GCF of Denominators means GCF of 156,299,232 as per the given fractions.

GCF of 156,299,232 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,40,845

LCM of Fractions 14/156,40/299,845/232 is 47320

2 14, 40, 845
5 7, 20, 845
7, 4, 169

∴ So the LCM of the given numbers is 2 x 5 x 7 x 4 x 169 = 47320

Least Common Multiple of 14,40,845 with GCF Formula

Least Common Multiple of 14,40,845 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 14,40,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,40,845) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(14,40,845) x common factors =1 x 10 = 10

LCM(14,40,845) = ( 14 × 40 × 845 ) / 10

LCM(14,40,845) = 473200 / 10

LCM(14,40,845) = 47320


Lets's calculate GCF of 156,299,232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47320/1

Therefore the LCM of Fractions 14/156,40/299,845/232 is 47320

Greatest Common Factor of 156,299,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,299,232 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 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 156,299,232 . The biggest common factor number is the GCF number.
So the greatest common factor 156,299,232 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 14/156, 40/299, 845/232

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 14/156, 40/299, 845/232?

Answer: LCM of Numerators as per given numbers 14/156, 40/299, 845/232 is

LCM of Numerators i.e. for 14,40,845 is 47320

GCF of denominators i.e. for 156,299,232 is 1.

Thus, LCM of Fractions is 47320.Finally, LCM of Fractions for 14/156, 40/299, 845/232 is 47320.