Least Common Multiple of 694/21, 624/2469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 694/21, 624/2469 quickly i.e. 72176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 694/21, 624/2469 is 72176.

LCM(694/21, 624/2469) = 72176

LCM of 694/21, 624/2469

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 694/21,624/2469

Given numbers are 694/21,624/2469

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 694,624

Least Common Multiple of Numerators i.e. LCM of 694,624 is 216528.

GCF of Denominators means GCF of 21,2469 as per the given fractions.

GCF of 21,2469 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 694,624

LCM of Fractions 694/21,624/2469 is 72176

2 694, 624
347, 312

∴ So the LCM of the given numbers is 2 x 347 x 312 = 216528

Least Common Multiple of 694,624 with GCF Formula

Least Common Multiple of 694,624 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 694,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,624) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(694,624) x common factors =2 x 1 = 2

LCM(694,624) = ( 694 × 624 ) / 2

LCM(694,624) = 433056 / 2

LCM(694,624) = 216528


Lets's calculate GCF of 21,2469

3 21, 2469
7, 823

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216528/3

Therefore the LCM of Fractions 694/21,624/2469 is 72176

Greatest Common Factor of 21,2469 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,2469 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 2469

List of positive integer factors of 2469 that divides 2469 without a remainder.

1,3,823,2469

Greatest Common Factor

We found the factors 21,2469 . The biggest common factor number is the GCF number.
So the greatest common factor 21,2469 is 3.


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 694/21, 624/2469

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 694/21, 624/2469?

Answer: LCM of Numerators as per given numbers 694/21, 624/2469 is

LCM of Numerators i.e. for 694,624 is 216528

GCF of denominators i.e. for 21,2469 is 3.

Thus, LCM of Fractions is 72176.Finally, LCM of Fractions for 694/21, 624/2469 is 72176.