Least Common Multiple of 19/74, 82/36, 338/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/74, 82/36, 338/454 quickly i.e. 131651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/74, 82/36, 338/454 is 131651.

LCM(19/74, 82/36, 338/454) = 131651

LCM of 19/74, 82/36, 338/454

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 19/74,82/36,338/454

Given numbers are 19/74,82/36,338/454

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 19,82,338

Least Common Multiple of Numerators i.e. LCM of 19,82,338 is 263302.

GCF of Denominators means GCF of 74,36,454 as per the given fractions.

GCF of 74,36,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,82,338

LCM of Fractions 19/74,82/36,338/454 is 131651

2 19, 82, 338
19, 41, 169

∴ So the LCM of the given numbers is 2 x 19 x 41 x 169 = 263302

Least Common Multiple of 19,82,338 with GCF Formula

Least Common Multiple of 19,82,338 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 19,82,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,82,338) = 1

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

GCF(19,82,338) x common factors =1 x 2 = 2

LCM(19,82,338) = ( 19 × 82 × 338 ) / 2

LCM(19,82,338) = 526604 / 2

LCM(19,82,338) = 263302


Lets's calculate GCF of 74,36,454

2 74, 36, 454
37, 18, 227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263302/2

Therefore the LCM of Fractions 19/74,82/36,338/454 is 131651

Greatest Common Factor of 74,36,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,36,454 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 74,36,454 . The biggest common factor number is the GCF number.
So the greatest common factor 74,36,454 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 19/74, 82/36, 338/454

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 19/74, 82/36, 338/454?

Answer: LCM of Numerators as per given numbers 19/74, 82/36, 338/454 is

LCM of Numerators i.e. for 19,82,338 is 263302

GCF of denominators i.e. for 74,36,454 is 2.

Thus, LCM of Fractions is 131651.Finally, LCM of Fractions for 19/74, 82/36, 338/454 is 131651.