Least Common Multiple of 89/46, 24/30, 482/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/46, 24/30, 482/978 quickly i.e. 257388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/46, 24/30, 482/978 is 257388.

LCM(89/46, 24/30, 482/978) = 257388

LCM of 89/46, 24/30, 482/978

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 89/46,24/30,482/978

Given numbers are 89/46,24/30,482/978

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 89,24,482

Least Common Multiple of Numerators i.e. LCM of 89,24,482 is 514776.

GCF of Denominators means GCF of 46,30,978 as per the given fractions.

GCF of 46,30,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,24,482

LCM of Fractions 89/46,24/30,482/978 is 257388

2 89, 24, 482
89, 12, 241

∴ So the LCM of the given numbers is 2 x 89 x 12 x 241 = 514776

Least Common Multiple of 89,24,482 with GCF Formula

Least Common Multiple of 89,24,482 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 89,24,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,24,482) = 1

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

GCF(89,24,482) x common factors =1 x 2 = 2

LCM(89,24,482) = ( 89 × 24 × 482 ) / 2

LCM(89,24,482) = 1029552 / 2

LCM(89,24,482) = 514776


Lets's calculate GCF of 46,30,978

2 46, 30, 978
23, 15, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 514776/2

Therefore the LCM of Fractions 89/46,24/30,482/978 is 257388

Greatest Common Factor of 46,30,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,30,978 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 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 46,30,978 . The biggest common factor number is the GCF number.
So the greatest common factor 46,30,978 is 2.


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 89/46, 24/30, 482/978

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 89/46, 24/30, 482/978?

Answer: LCM of Numerators as per given numbers 89/46, 24/30, 482/978 is

LCM of Numerators i.e. for 89,24,482 is 514776

GCF of denominators i.e. for 46,30,978 is 2.

Thus, LCM of Fractions is 257388.Finally, LCM of Fractions for 89/46, 24/30, 482/978 is 257388.