Least Common Multiple of 144/183, 6354/4654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/183, 6354/4654 quickly i.e. 50832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/183, 6354/4654 is 50832.

LCM(144/183, 6354/4654) = 50832

LCM of 144/183, 6354/4654

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 144/183,6354/4654

Given numbers are 144/183,6354/4654

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 144,6354

Least Common Multiple of Numerators i.e. LCM of 144,6354 is 50832.

GCF of Denominators means GCF of 183,4654 as per the given fractions.

GCF of 183,4654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,6354

LCM of Fractions 144/183,6354/4654 is 50832

2 144, 6354
3 72, 3177
3 24, 1059
8, 353

∴ So the LCM of the given numbers is 2 x 3 x 3 x 8 x 353 = 50832

Least Common Multiple of 144,6354 with GCF Formula

Least Common Multiple of 144,6354 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 144,6354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,6354) = 18

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

GCF(144,6354) x common factors =18 x 1 = 18

LCM(144,6354) = ( 144 × 6354 ) / 18

LCM(144,6354) = 914976 / 18

LCM(144,6354) = 50832


Lets's calculate GCF of 183,4654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50832/1

Therefore the LCM of Fractions 144/183,6354/4654 is 50832

Greatest Common Factor of 183,4654 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,4654 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1,2,13,26,179,358,2327,4654

Greatest Common Factor

We found the factors 183,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 183,4654 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 144/183, 6354/4654

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 144/183, 6354/4654?

Answer: LCM of Numerators as per given numbers 144/183, 6354/4654 is

LCM of Numerators i.e. for 144,6354 is 50832

GCF of denominators i.e. for 183,4654 is 1.

Thus, LCM of Fractions is 50832.Finally, LCM of Fractions for 144/183, 6354/4654 is 50832.