Least Common Multiple of 432/183, 553/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/183, 553/305 quickly i.e. 238896/61 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/183, 553/305 is 238896/61.

LCM(432/183, 553/305) = 238896/61

LCM of 432/183, 553/305

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 432/183,553/305

Given numbers are 432/183,553/305

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 432,553

Least Common Multiple of Numerators i.e. LCM of 432,553 is 238896.

GCF of Denominators means GCF of 183,305 as per the given fractions.

GCF of 183,305 is 61 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,553

LCM of Fractions 432/183,553/305 is 238896/61

Given numbers has no common factors except 1. So, there LCM is their product i.e 238896

Least Common Multiple of 432,553 with GCF Formula

Least Common Multiple of 432,553 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 432,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,553) = 1

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

GCF(432,553) x common factors =1 x 1 = 1

LCM(432,553) = ( 432 × 553 ) / 1

LCM(432,553) = 238896 / 1

LCM(432,553) = 238896


Lets's calculate GCF of 183,305

61 183, 305
3, 5

∴ So the GCF of the given numbers is 61 = 61

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238896/61

Therefore the LCM of Fractions 432/183,553/305 is 238896/61

Greatest Common Factor of 183,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,305 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 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 183,305 . The biggest common factor number is the GCF number.
So the greatest common factor 183,305 is 61.


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 432/183, 553/305

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 432/183, 553/305?

Answer: LCM of Numerators as per given numbers 432/183, 553/305 is

LCM of Numerators i.e. for 432,553 is 238896

GCF of denominators i.e. for 183,305 is 61.

Thus, LCM of Fractions is 238896/61.Finally, LCM of Fractions for 432/183, 553/305 is 238896/61.