Least Common Multiple of 409/153, 2232/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 409/153, 2232/831 quickly i.e. 304296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 409/153, 2232/831 is 304296.

LCM(409/153, 2232/831) = 304296

LCM of 409/153, 2232/831

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 409/153,2232/831

Given numbers are 409/153,2232/831

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 409,2232

Least Common Multiple of Numerators i.e. LCM of 409,2232 is 912888.

GCF of Denominators means GCF of 153,831 as per the given fractions.

GCF of 153,831 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 409,2232

LCM of Fractions 409/153,2232/831 is 304296

Given numbers has no common factors except 1. So, there LCM is their product i.e 912888

Least Common Multiple of 409,2232 with GCF Formula

Least Common Multiple of 409,2232 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 409,2232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,2232) = 1

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

GCF(409,2232) x common factors =1 x 1 = 1

LCM(409,2232) = ( 409 × 2232 ) / 1

LCM(409,2232) = 912888 / 1

LCM(409,2232) = 912888


Lets's calculate GCF of 153,831

3 153, 831
51, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 912888/3

Therefore the LCM of Fractions 409/153,2232/831 is 304296

Greatest Common Factor of 153,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,831 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 153,831 . The biggest common factor number is the GCF number.
So the greatest common factor 153,831 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 409/153, 2232/831

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 409/153, 2232/831?

Answer: LCM of Numerators as per given numbers 409/153, 2232/831 is

LCM of Numerators i.e. for 409,2232 is 912888

GCF of denominators i.e. for 153,831 is 3.

Thus, LCM of Fractions is 304296.Finally, LCM of Fractions for 409/153, 2232/831 is 304296.