Least Common Multiple of 11/84, 24/44, 978/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/84, 24/44, 978/450 quickly i.e. 21516 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/84, 24/44, 978/450 is 21516.

LCM(11/84, 24/44, 978/450) = 21516

LCM of 11/84, 24/44, 978/450

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 11/84,24/44,978/450

Given numbers are 11/84,24/44,978/450

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 11,24,978

Least Common Multiple of Numerators i.e. LCM of 11,24,978 is 43032.

GCF of Denominators means GCF of 84,44,450 as per the given fractions.

GCF of 84,44,450 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,24,978

LCM of Fractions 11/84,24/44,978/450 is 21516

2 11, 24, 978
3 11, 12, 489
11, 4, 163

∴ So the LCM of the given numbers is 2 x 3 x 11 x 4 x 163 = 43032

Least Common Multiple of 11,24,978 with GCF Formula

Least Common Multiple of 11,24,978 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 11,24,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,24,978) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(11,24,978) x common factors =1 x 6 = 6

LCM(11,24,978) = ( 11 × 24 × 978 ) / 6

LCM(11,24,978) = 258192 / 6

LCM(11,24,978) = 43032


Lets's calculate GCF of 84,44,450

2 84, 44, 450
42, 22, 225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43032/2

Therefore the LCM of Fractions 11/84,24/44,978/450 is 21516

Greatest Common Factor of 84,44,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,44,450 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 84,44,450 . The biggest common factor number is the GCF number.
So the greatest common factor 84,44,450 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 11/84, 24/44, 978/450

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 11/84, 24/44, 978/450?

Answer: LCM of Numerators as per given numbers 11/84, 24/44, 978/450 is

LCM of Numerators i.e. for 11,24,978 is 43032

GCF of denominators i.e. for 84,44,450 is 2.

Thus, LCM of Fractions is 21516.Finally, LCM of Fractions for 11/84, 24/44, 978/450 is 21516.