Least Common Multiple of 438/53, 120/3919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/53, 120/3919 quickly i.e. 8760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/53, 120/3919 is 8760.

LCM(438/53, 120/3919) = 8760

LCM of 438/53, 120/3919

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 438/53,120/3919

Given numbers are 438/53,120/3919

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 438,120

Least Common Multiple of Numerators i.e. LCM of 438,120 is 8760.

GCF of Denominators means GCF of 53,3919 as per the given fractions.

GCF of 53,3919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,120

LCM of Fractions 438/53,120/3919 is 8760

2 438, 120
3 219, 60
73, 20

∴ So the LCM of the given numbers is 2 x 3 x 73 x 20 = 8760

Least Common Multiple of 438,120 with GCF Formula

Least Common Multiple of 438,120 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 438,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,120) = 6

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

GCF(438,120) x common factors =6 x 1 = 6

LCM(438,120) = ( 438 × 120 ) / 6

LCM(438,120) = 52560 / 6

LCM(438,120) = 8760


Lets's calculate GCF of 53,3919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8760/1

Therefore the LCM of Fractions 438/53,120/3919 is 8760

Greatest Common Factor of 53,3919 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,3919 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 3919

List of positive integer factors of 3919 that divides 3919 without a remainder.

1,3919

Greatest Common Factor

We found the factors 53,3919 . The biggest common factor number is the GCF number.
So the greatest common factor 53,3919 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 438/53, 120/3919

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 438/53, 120/3919?

Answer: LCM of Numerators as per given numbers 438/53, 120/3919 is

LCM of Numerators i.e. for 438,120 is 8760

GCF of denominators i.e. for 53,3919 is 1.

Thus, LCM of Fractions is 8760.Finally, LCM of Fractions for 438/53, 120/3919 is 8760.