Least Common Multiple of 80/90, 492/24, 114/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/90, 492/24, 114/588 quickly i.e. 31160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/90, 492/24, 114/588 is 31160.

LCM(80/90, 492/24, 114/588) = 31160

LCM of 80/90, 492/24, 114/588

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 80/90,492/24,114/588

Given numbers are 80/90,492/24,114/588

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 80,492,114

Least Common Multiple of Numerators i.e. LCM of 80,492,114 is 186960.

GCF of Denominators means GCF of 90,24,588 as per the given fractions.

GCF of 90,24,588 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,492,114

LCM of Fractions 80/90,492/24,114/588 is 31160

2 80, 492, 114
2 40, 246, 57
3 20, 123, 57
20, 41, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 41 x 19 = 186960

Least Common Multiple of 80,492,114 with GCF Formula

Least Common Multiple of 80,492,114 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 80,492,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,492,114) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(80,492,114) x common factors =2 x 12 = 24

LCM(80,492,114) = ( 80 × 492 × 114 ) / 24

LCM(80,492,114) = 4487040 / 24

LCM(80,492,114) = 186960


Lets's calculate GCF of 90,24,588

2 90, 24, 588
3 45, 12, 294
15, 4, 98

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186960/6

Therefore the LCM of Fractions 80/90,492/24,114/588 is 31160

Greatest Common Factor of 90,24,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,24,588 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 90,24,588 . The biggest common factor number is the GCF number.
So the greatest common factor 90,24,588 is 6.


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 80/90, 492/24, 114/588

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 80/90, 492/24, 114/588?

Answer: LCM of Numerators as per given numbers 80/90, 492/24, 114/588 is

LCM of Numerators i.e. for 80,492,114 is 186960

GCF of denominators i.e. for 90,24,588 is 6.

Thus, LCM of Fractions is 31160.Finally, LCM of Fractions for 80/90, 492/24, 114/588 is 31160.