Least Common Multiple of 553/423, 435/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/423, 435/204 quickly i.e. 80185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/423, 435/204 is 80185.

LCM(553/423, 435/204) = 80185

LCM of 553/423, 435/204

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 553/423,435/204

Given numbers are 553/423,435/204

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 553,435

Least Common Multiple of Numerators i.e. LCM of 553,435 is 240555.

GCF of Denominators means GCF of 423,204 as per the given fractions.

GCF of 423,204 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,435

LCM of Fractions 553/423,435/204 is 80185

Given numbers has no common factors except 1. So, there LCM is their product i.e 240555

Least Common Multiple of 553,435 with GCF Formula

Least Common Multiple of 553,435 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 553,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,435) = 1

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

GCF(553,435) x common factors =1 x 1 = 1

LCM(553,435) = ( 553 × 435 ) / 1

LCM(553,435) = 240555 / 1

LCM(553,435) = 240555


Lets's calculate GCF of 423,204

3 423, 204
141, 68

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240555/3

Therefore the LCM of Fractions 553/423,435/204 is 80185

Greatest Common Factor of 423,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,204 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 423,204 . The biggest common factor number is the GCF number.
So the greatest common factor 423,204 is 3.


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 553/423, 435/204

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 553/423, 435/204?

Answer: LCM of Numerators as per given numbers 553/423, 435/204 is

LCM of Numerators i.e. for 553,435 is 240555

GCF of denominators i.e. for 423,204 is 3.

Thus, LCM of Fractions is 80185.Finally, LCM of Fractions for 553/423, 435/204 is 80185.