Least Common Multiple of 993/74, 504/72, 691/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 993/74, 504/72, 691/942 quickly i.e. 57637692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 993/74, 504/72, 691/942 is 57637692.

LCM(993/74, 504/72, 691/942) = 57637692

LCM of 993/74, 504/72, 691/942

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 993/74,504/72,691/942

Given numbers are 993/74,504/72,691/942

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 993,504,691

Least Common Multiple of Numerators i.e. LCM of 993,504,691 is 115275384.

GCF of Denominators means GCF of 74,72,942 as per the given fractions.

GCF of 74,72,942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 993,504,691

LCM of Fractions 993/74,504/72,691/942 is 57637692

3 993, 504, 691
331, 168, 691

∴ So the LCM of the given numbers is 3 x 331 x 168 x 691 = 115275384

Least Common Multiple of 993,504,691 with GCF Formula

Least Common Multiple of 993,504,691 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 993,504,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,504,691) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(993,504,691) x common factors =1 x 3 = 3

LCM(993,504,691) = ( 993 × 504 × 691 ) / 3

LCM(993,504,691) = 345826152 / 3

LCM(993,504,691) = 115275384


Lets's calculate GCF of 74,72,942

2 74, 72, 942
37, 36, 471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115275384/2

Therefore the LCM of Fractions 993/74,504/72,691/942 is 57637692

Greatest Common Factor of 74,72,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,72,942 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 74,72,942 . The biggest common factor number is the GCF number.
So the greatest common factor 74,72,942 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 993/74, 504/72, 691/942

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 993/74, 504/72, 691/942?

Answer: LCM of Numerators as per given numbers 993/74, 504/72, 691/942 is

LCM of Numerators i.e. for 993,504,691 is 115275384

GCF of denominators i.e. for 74,72,942 is 2.

Thus, LCM of Fractions is 57637692.Finally, LCM of Fractions for 993/74, 504/72, 691/942 is 57637692.