Least Common Multiple of 924/47, 429/74, 423/443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 924/47, 429/74, 423/443 quickly i.e. 1693692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 924/47, 429/74, 423/443 is 1693692.

LCM(924/47, 429/74, 423/443) = 1693692

LCM of 924/47, 429/74, 423/443

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 924/47,429/74,423/443

Given numbers are 924/47,429/74,423/443

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 924,429,423

Least Common Multiple of Numerators i.e. LCM of 924,429,423 is 1693692.

GCF of Denominators means GCF of 47,74,443 as per the given fractions.

GCF of 47,74,443 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 924,429,423

LCM of Fractions 924/47,429/74,423/443 is 1693692

3 924, 429, 423
11 308, 143, 141
28, 13, 141

∴ So the LCM of the given numbers is 3 x 11 x 28 x 13 x 141 = 1693692

Least Common Multiple of 924,429,423 with GCF Formula

Least Common Multiple of 924,429,423 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 924,429,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,429,423) = 3

common factors(in case of two or more numbers have common factors) = 33

GCF(924,429,423) x common factors =3 x 33 = 99

LCM(924,429,423) = ( 924 × 429 × 423 ) / 99

LCM(924,429,423) = 167675508 / 99

LCM(924,429,423) = 1693692


Lets's calculate GCF of 47,74,443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1693692/1

Therefore the LCM of Fractions 924/47,429/74,423/443 is 1693692

Greatest Common Factor of 47,74,443 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,74,443 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Greatest Common Factor

We found the factors 47,74,443 . The biggest common factor number is the GCF number.
So the greatest common factor 47,74,443 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 924/47, 429/74, 423/443

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 924/47, 429/74, 423/443?

Answer: LCM of Numerators as per given numbers 924/47, 429/74, 423/443 is

LCM of Numerators i.e. for 924,429,423 is 1693692

GCF of denominators i.e. for 47,74,443 is 1.

Thus, LCM of Fractions is 1693692.Finally, LCM of Fractions for 924/47, 429/74, 423/443 is 1693692.