Least Common Multiple of 738/27, 994/9411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/27, 994/9411 quickly i.e. 122262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/27, 994/9411 is 122262.

LCM(738/27, 994/9411) = 122262

LCM of 738/27, 994/9411

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 738/27,994/9411

Given numbers are 738/27,994/9411

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 738,994

Least Common Multiple of Numerators i.e. LCM of 738,994 is 366786.

GCF of Denominators means GCF of 27,9411 as per the given fractions.

GCF of 27,9411 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,994

LCM of Fractions 738/27,994/9411 is 122262

2 738, 994
369, 497

∴ So the LCM of the given numbers is 2 x 369 x 497 = 366786

Least Common Multiple of 738,994 with GCF Formula

Least Common Multiple of 738,994 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 738,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,994) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(738,994) x common factors =2 x 1 = 2

LCM(738,994) = ( 738 × 994 ) / 2

LCM(738,994) = 733572 / 2

LCM(738,994) = 366786


Lets's calculate GCF of 27,9411

3 27, 9411
9, 3137

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 366786/3

Therefore the LCM of Fractions 738/27,994/9411 is 122262

Greatest Common Factor of 27,9411 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,9411 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 9411

List of positive integer factors of 9411 that divides 9411 without a remainder.

1,3,3137,9411

Greatest Common Factor

We found the factors 27,9411 . The biggest common factor number is the GCF number.
So the greatest common factor 27,9411 is 3.


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 738/27, 994/9411

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 738/27, 994/9411?

Answer: LCM of Numerators as per given numbers 738/27, 994/9411 is

LCM of Numerators i.e. for 738,994 is 366786

GCF of denominators i.e. for 27,9411 is 3.

Thus, LCM of Fractions is 122262.Finally, LCM of Fractions for 738/27, 994/9411 is 122262.