Least Common Multiple of 24/84, 96/18, 486/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/84, 96/18, 486/736 quickly i.e. 3888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/84, 96/18, 486/736 is 3888.

LCM(24/84, 96/18, 486/736) = 3888

LCM of 24/84, 96/18, 486/736

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 24/84,96/18,486/736

Given numbers are 24/84,96/18,486/736

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 24,96,486

Least Common Multiple of Numerators i.e. LCM of 24,96,486 is 7776.

GCF of Denominators means GCF of 84,18,736 as per the given fractions.

GCF of 84,18,736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,96,486

LCM of Fractions 24/84,96/18,486/736 is 3888

2 24, 96, 486
2 12, 48, 243
2 6, 24, 243
3 3, 12, 243
1, 4, 81

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 4 x 81 = 7776

Least Common Multiple of 24,96,486 with GCF Formula

Least Common Multiple of 24,96,486 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 24,96,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,96,486) = 6

common factors(in case of two or more numbers have common factors) = 24

GCF(24,96,486) x common factors =6 x 24 = 144

LCM(24,96,486) = ( 24 × 96 × 486 ) / 144

LCM(24,96,486) = 1119744 / 144

LCM(24,96,486) = 7776


Lets's calculate GCF of 84,18,736

2 84, 18, 736
42, 9, 368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7776/2

Therefore the LCM of Fractions 24/84,96/18,486/736 is 3888

Greatest Common Factor of 84,18,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,18,736 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 84,18,736 . The biggest common factor number is the GCF number.
So the greatest common factor 84,18,736 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 24/84, 96/18, 486/736

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 24/84, 96/18, 486/736?

Answer: LCM of Numerators as per given numbers 24/84, 96/18, 486/736 is

LCM of Numerators i.e. for 24,96,486 is 7776

GCF of denominators i.e. for 84,18,736 is 2.

Thus, LCM of Fractions is 3888.Finally, LCM of Fractions for 24/84, 96/18, 486/736 is 3888.