Least Common Multiple of 144/78, 984/31, 585/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/78, 984/31, 585/994 quickly i.e. 383760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/78, 984/31, 585/994 is 383760.

LCM(144/78, 984/31, 585/994) = 383760

LCM of 144/78, 984/31, 585/994

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 144/78,984/31,585/994

Given numbers are 144/78,984/31,585/994

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 144,984,585

Least Common Multiple of Numerators i.e. LCM of 144,984,585 is 383760.

GCF of Denominators means GCF of 78,31,994 as per the given fractions.

GCF of 78,31,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,984,585

LCM of Fractions 144/78,984/31,585/994 is 383760

2 144, 984, 585
2 72, 492, 585
2 36, 246, 585
3 18, 123, 585
3 6, 41, 195
2, 41, 65

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 2 x 41 x 65 = 383760

Least Common Multiple of 144,984,585 with GCF Formula

Least Common Multiple of 144,984,585 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 144,984,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,984,585) = 3

common factors(in case of two or more numbers have common factors) = 72

GCF(144,984,585) x common factors =3 x 72 = 216

LCM(144,984,585) = ( 144 × 984 × 585 ) / 216

LCM(144,984,585) = 82892160 / 216

LCM(144,984,585) = 383760


Lets's calculate GCF of 78,31,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383760/1

Therefore the LCM of Fractions 144/78,984/31,585/994 is 383760

Greatest Common Factor of 78,31,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,31,994 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 78,31,994 . The biggest common factor number is the GCF number.
So the greatest common factor 78,31,994 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 144/78, 984/31, 585/994

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 144/78, 984/31, 585/994?

Answer: LCM of Numerators as per given numbers 144/78, 984/31, 585/994 is

LCM of Numerators i.e. for 144,984,585 is 383760

GCF of denominators i.e. for 78,31,994 is 1.

Thus, LCM of Fractions is 383760.Finally, LCM of Fractions for 144/78, 984/31, 585/994 is 383760.