Least Common Multiple of 423/49, 684/76, 569/884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 423/49, 684/76, 569/884 quickly i.e. 18292212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 423/49, 684/76, 569/884 is 18292212.

LCM(423/49, 684/76, 569/884) = 18292212

LCM of 423/49, 684/76, 569/884

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 423/49,684/76,569/884

Given numbers are 423/49,684/76,569/884

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 423,684,569

Least Common Multiple of Numerators i.e. LCM of 423,684,569 is 18292212.

GCF of Denominators means GCF of 49,76,884 as per the given fractions.

GCF of 49,76,884 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 423,684,569

LCM of Fractions 423/49,684/76,569/884 is 18292212

3 423, 684, 569
3 141, 228, 569
47, 76, 569

∴ So the LCM of the given numbers is 3 x 3 x 47 x 76 x 569 = 18292212

Least Common Multiple of 423,684,569 with GCF Formula

Least Common Multiple of 423,684,569 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 423,684,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,684,569) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(423,684,569) x common factors =1 x 9 = 9

LCM(423,684,569) = ( 423 × 684 × 569 ) / 9

LCM(423,684,569) = 164629908 / 9

LCM(423,684,569) = 18292212


Lets's calculate GCF of 49,76,884

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18292212/1

Therefore the LCM of Fractions 423/49,684/76,569/884 is 18292212

Greatest Common Factor of 49,76,884 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,76,884 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Greatest Common Factor

We found the factors 49,76,884 . The biggest common factor number is the GCF number.
So the greatest common factor 49,76,884 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 423/49, 684/76, 569/884

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 423/49, 684/76, 569/884?

Answer: LCM of Numerators as per given numbers 423/49, 684/76, 569/884 is

LCM of Numerators i.e. for 423,684,569 is 18292212

GCF of denominators i.e. for 49,76,884 is 1.

Thus, LCM of Fractions is 18292212.Finally, LCM of Fractions for 423/49, 684/76, 569/884 is 18292212.