Least Common Multiple of 232/46, 439/3972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 232/46, 439/3972 quickly i.e. 50924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 232/46, 439/3972 is 50924.

LCM(232/46, 439/3972) = 50924

LCM of 232/46, 439/3972

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 232/46,439/3972

Given numbers are 232/46,439/3972

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 232,439

Least Common Multiple of Numerators i.e. LCM of 232,439 is 101848.

GCF of Denominators means GCF of 46,3972 as per the given fractions.

GCF of 46,3972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 232,439

LCM of Fractions 232/46,439/3972 is 50924

Given numbers has no common factors except 1. So, there LCM is their product i.e 101848

Least Common Multiple of 232,439 with GCF Formula

Least Common Multiple of 232,439 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 232,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,439) = 1

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

GCF(232,439) x common factors =1 x 1 = 1

LCM(232,439) = ( 232 × 439 ) / 1

LCM(232,439) = 101848 / 1

LCM(232,439) = 101848


Lets's calculate GCF of 46,3972

2 46, 3972
23, 1986

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101848/2

Therefore the LCM of Fractions 232/46,439/3972 is 50924

Greatest Common Factor of 46,3972 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,3972 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 3972

List of positive integer factors of 3972 that divides 3972 without a remainder.

1,2,3,4,6,12,331,662,993,1324,1986,3972

Greatest Common Factor

We found the factors 46,3972 . The biggest common factor number is the GCF number.
So the greatest common factor 46,3972 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 232/46, 439/3972

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 232/46, 439/3972?

Answer: LCM of Numerators as per given numbers 232/46, 439/3972 is

LCM of Numerators i.e. for 232,439 is 101848

GCF of denominators i.e. for 46,3972 is 2.

Thus, LCM of Fractions is 50924.Finally, LCM of Fractions for 232/46, 439/3972 is 50924.