Least Common Multiple of 74/418, 16/926, 829/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/418, 16/926, 829/524 quickly i.e. 245384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/418, 16/926, 829/524 is 245384.

LCM(74/418, 16/926, 829/524) = 245384

LCM of 74/418, 16/926, 829/524

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 74/418,16/926,829/524

Given numbers are 74/418,16/926,829/524

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 74,16,829

Least Common Multiple of Numerators i.e. LCM of 74,16,829 is 490768.

GCF of Denominators means GCF of 418,926,524 as per the given fractions.

GCF of 418,926,524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,16,829

LCM of Fractions 74/418,16/926,829/524 is 245384

2 74, 16, 829
37, 8, 829

∴ So the LCM of the given numbers is 2 x 37 x 8 x 829 = 490768

Least Common Multiple of 74,16,829 with GCF Formula

Least Common Multiple of 74,16,829 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 74,16,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,16,829) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,16,829) x common factors =1 x 2 = 2

LCM(74,16,829) = ( 74 × 16 × 829 ) / 2

LCM(74,16,829) = 981536 / 2

LCM(74,16,829) = 490768


Lets's calculate GCF of 418,926,524

2 418, 926, 524
209, 463, 262

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 490768/2

Therefore the LCM of Fractions 74/418,16/926,829/524 is 245384

Greatest Common Factor of 418,926,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,926,524 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 418,926,524 . The biggest common factor number is the GCF number.
So the greatest common factor 418,926,524 is 2.


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 74/418, 16/926, 829/524

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 74/418, 16/926, 829/524?

Answer: LCM of Numerators as per given numbers 74/418, 16/926, 829/524 is

LCM of Numerators i.e. for 74,16,829 is 490768

GCF of denominators i.e. for 418,926,524 is 2.

Thus, LCM of Fractions is 245384.Finally, LCM of Fractions for 74/418, 16/926, 829/524 is 245384.