Least Common Multiple of 74/382, 924/329, 242/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/382, 924/329, 242/331 quickly i.e. 376068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/382, 924/329, 242/331 is 376068.

LCM(74/382, 924/329, 242/331) = 376068

LCM of 74/382, 924/329, 242/331

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 74/382,924/329,242/331

Given numbers are 74/382,924/329,242/331

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 74,924,242

Least Common Multiple of Numerators i.e. LCM of 74,924,242 is 376068.

GCF of Denominators means GCF of 382,329,331 as per the given fractions.

GCF of 382,329,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,924,242

LCM of Fractions 74/382,924/329,242/331 is 376068

2 74, 924, 242
11 37, 462, 121
37, 42, 11

∴ So the LCM of the given numbers is 2 x 11 x 37 x 42 x 11 = 376068

Least Common Multiple of 74,924,242 with GCF Formula

Least Common Multiple of 74,924,242 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 74,924,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,924,242) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(74,924,242) x common factors =2 x 22 = 44

LCM(74,924,242) = ( 74 × 924 × 242 ) / 44

LCM(74,924,242) = 16546992 / 44

LCM(74,924,242) = 376068


Lets's calculate GCF of 382,329,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376068/1

Therefore the LCM of Fractions 74/382,924/329,242/331 is 376068

Greatest Common Factor of 382,329,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,329,331 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 382,329,331 . The biggest common factor number is the GCF number.
So the greatest common factor 382,329,331 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 74/382, 924/329, 242/331

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 74/382, 924/329, 242/331?

Answer: LCM of Numerators as per given numbers 74/382, 924/329, 242/331 is

LCM of Numerators i.e. for 74,924,242 is 376068

GCF of denominators i.e. for 382,329,331 is 1.

Thus, LCM of Fractions is 376068.Finally, LCM of Fractions for 74/382, 924/329, 242/331 is 376068.