Least Common Multiple of 92/38, 57/115, 304/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/38, 57/115, 304/330 quickly i.e. 20976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/38, 57/115, 304/330 is 20976.

LCM(92/38, 57/115, 304/330) = 20976

LCM of 92/38, 57/115, 304/330

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 92/38,57/115,304/330

Given numbers are 92/38,57/115,304/330

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 92,57,304

Least Common Multiple of Numerators i.e. LCM of 92,57,304 is 20976.

GCF of Denominators means GCF of 38,115,330 as per the given fractions.

GCF of 38,115,330 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,57,304

LCM of Fractions 92/38,57/115,304/330 is 20976

2 92, 57, 304
2 46, 57, 152
19 23, 57, 76
23, 3, 4

∴ So the LCM of the given numbers is 2 x 2 x 19 x 23 x 3 x 4 = 20976

Least Common Multiple of 92,57,304 with GCF Formula

Least Common Multiple of 92,57,304 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 92,57,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,57,304) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(92,57,304) x common factors =1 x 76 = 76

LCM(92,57,304) = ( 92 × 57 × 304 ) / 76

LCM(92,57,304) = 1594176 / 76

LCM(92,57,304) = 20976


Lets's calculate GCF of 38,115,330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20976/1

Therefore the LCM of Fractions 92/38,57/115,304/330 is 20976

Greatest Common Factor of 38,115,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,115,330 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 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 38,115,330 . The biggest common factor number is the GCF number.
So the greatest common factor 38,115,330 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 92/38, 57/115, 304/330

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 92/38, 57/115, 304/330?

Answer: LCM of Numerators as per given numbers 92/38, 57/115, 304/330 is

LCM of Numerators i.e. for 92,57,304 is 20976

GCF of denominators i.e. for 38,115,330 is 1.

Thus, LCM of Fractions is 20976.Finally, LCM of Fractions for 92/38, 57/115, 304/330 is 20976.