Least Common Multiple of 74/36, 354/88, 403/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/36, 354/88, 403/441 quickly i.e. 5278494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/36, 354/88, 403/441 is 5278494.

LCM(74/36, 354/88, 403/441) = 5278494

LCM of 74/36, 354/88, 403/441

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 74/36,354/88,403/441

Given numbers are 74/36,354/88,403/441

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 74,354,403

Least Common Multiple of Numerators i.e. LCM of 74,354,403 is 5278494.

GCF of Denominators means GCF of 36,88,441 as per the given fractions.

GCF of 36,88,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,354,403

LCM of Fractions 74/36,354/88,403/441 is 5278494

2 74, 354, 403
37, 177, 403

∴ So the LCM of the given numbers is 2 x 37 x 177 x 403 = 5278494

Least Common Multiple of 74,354,403 with GCF Formula

Least Common Multiple of 74,354,403 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 74,354,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,354,403) = 1

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

GCF(74,354,403) x common factors =1 x 2 = 2

LCM(74,354,403) = ( 74 × 354 × 403 ) / 2

LCM(74,354,403) = 10556988 / 2

LCM(74,354,403) = 5278494


Lets's calculate GCF of 36,88,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5278494/1

Therefore the LCM of Fractions 74/36,354/88,403/441 is 5278494

Greatest Common Factor of 36,88,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,88,441 By Matching Biggest Common Factor Method

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 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 36,88,441 . The biggest common factor number is the GCF number.
So the greatest common factor 36,88,441 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 74/36, 354/88, 403/441

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 74/36, 354/88, 403/441?

Answer: LCM of Numerators as per given numbers 74/36, 354/88, 403/441 is

LCM of Numerators i.e. for 74,354,403 is 5278494

GCF of denominators i.e. for 36,88,441 is 1.

Thus, LCM of Fractions is 5278494.Finally, LCM of Fractions for 74/36, 354/88, 403/441 is 5278494.