Least Common Multiple of 21/894, 24/503, 678/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/894, 24/503, 678/690 quickly i.e. 18984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/894, 24/503, 678/690 is 18984.

LCM(21/894, 24/503, 678/690) = 18984

LCM of 21/894, 24/503, 678/690

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 21/894,24/503,678/690

Given numbers are 21/894,24/503,678/690

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 21,24,678

Least Common Multiple of Numerators i.e. LCM of 21,24,678 is 18984.

GCF of Denominators means GCF of 894,503,690 as per the given fractions.

GCF of 894,503,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,24,678

LCM of Fractions 21/894,24/503,678/690 is 18984

2 21, 24, 678
3 21, 12, 339
7, 4, 113

∴ So the LCM of the given numbers is 2 x 3 x 7 x 4 x 113 = 18984

Least Common Multiple of 21,24,678 with GCF Formula

Least Common Multiple of 21,24,678 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 21,24,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,24,678) = 3

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

GCF(21,24,678) x common factors =3 x 6 = 18

LCM(21,24,678) = ( 21 × 24 × 678 ) / 18

LCM(21,24,678) = 341712 / 18

LCM(21,24,678) = 18984


Lets's calculate GCF of 894,503,690

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18984/1

Therefore the LCM of Fractions 21/894,24/503,678/690 is 18984

Greatest Common Factor of 894,503,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,503,690 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 894,503,690 . The biggest common factor number is the GCF number.
So the greatest common factor 894,503,690 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 21/894, 24/503, 678/690

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 21/894, 24/503, 678/690?

Answer: LCM of Numerators as per given numbers 21/894, 24/503, 678/690 is

LCM of Numerators i.e. for 21,24,678 is 18984

GCF of denominators i.e. for 894,503,690 is 1.

Thus, LCM of Fractions is 18984.Finally, LCM of Fractions for 21/894, 24/503, 678/690 is 18984.