Least Common Multiple of 73/192, 590/580, 988/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/192, 590/580, 988/448 quickly i.e. 5319145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/192, 590/580, 988/448 is 5319145.

LCM(73/192, 590/580, 988/448) = 5319145

LCM of 73/192, 590/580, 988/448

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 73/192,590/580,988/448

Given numbers are 73/192,590/580,988/448

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 73,590,988

Least Common Multiple of Numerators i.e. LCM of 73,590,988 is 21276580.

GCF of Denominators means GCF of 192,580,448 as per the given fractions.

GCF of 192,580,448 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,590,988

LCM of Fractions 73/192,590/580,988/448 is 5319145

2 73, 590, 988
73, 295, 494

∴ So the LCM of the given numbers is 2 x 73 x 295 x 494 = 21276580

Least Common Multiple of 73,590,988 with GCF Formula

Least Common Multiple of 73,590,988 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 73,590,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,590,988) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(73,590,988) x common factors =1 x 2 = 2

LCM(73,590,988) = ( 73 × 590 × 988 ) / 2

LCM(73,590,988) = 42553160 / 2

LCM(73,590,988) = 21276580


Lets's calculate GCF of 192,580,448

2 192, 580, 448
2 96, 290, 224
48, 145, 112

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21276580/4

Therefore the LCM of Fractions 73/192,590/580,988/448 is 5319145

Greatest Common Factor of 192,580,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,580,448 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 192,580,448 . The biggest common factor number is the GCF number.
So the greatest common factor 192,580,448 is 4.


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 73/192, 590/580, 988/448

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 73/192, 590/580, 988/448?

Answer: LCM of Numerators as per given numbers 73/192, 590/580, 988/448 is

LCM of Numerators i.e. for 73,590,988 is 21276580

GCF of denominators i.e. for 192,580,448 is 4.

Thus, LCM of Fractions is 5319145.Finally, LCM of Fractions for 73/192, 590/580, 988/448 is 5319145.