Least Common Multiple of 933/38, 576/22, 534/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 933/38, 576/22, 534/374 quickly i.e. 7971552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 933/38, 576/22, 534/374 is 7971552.

LCM(933/38, 576/22, 534/374) = 7971552

LCM of 933/38, 576/22, 534/374

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 933/38,576/22,534/374

Given numbers are 933/38,576/22,534/374

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 933,576,534

Least Common Multiple of Numerators i.e. LCM of 933,576,534 is 15943104.

GCF of Denominators means GCF of 38,22,374 as per the given fractions.

GCF of 38,22,374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 933,576,534

LCM of Fractions 933/38,576/22,534/374 is 7971552

2 933, 576, 534
3 933, 288, 267
311, 96, 89

∴ So the LCM of the given numbers is 2 x 3 x 311 x 96 x 89 = 15943104

Least Common Multiple of 933,576,534 with GCF Formula

Least Common Multiple of 933,576,534 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 933,576,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,576,534) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(933,576,534) x common factors =3 x 6 = 18

LCM(933,576,534) = ( 933 × 576 × 534 ) / 18

LCM(933,576,534) = 286975872 / 18

LCM(933,576,534) = 15943104


Lets's calculate GCF of 38,22,374

2 38, 22, 374
19, 11, 187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15943104/2

Therefore the LCM of Fractions 933/38,576/22,534/374 is 7971552

Greatest Common Factor of 38,22,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,22,374 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 38,22,374 . The biggest common factor number is the GCF number.
So the greatest common factor 38,22,374 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 933/38, 576/22, 534/374

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 933/38, 576/22, 534/374?

Answer: LCM of Numerators as per given numbers 933/38, 576/22, 534/374 is

LCM of Numerators i.e. for 933,576,534 is 15943104

GCF of denominators i.e. for 38,22,374 is 2.

Thus, LCM of Fractions is 7971552.Finally, LCM of Fractions for 933/38, 576/22, 534/374 is 7971552.