Least Common Multiple of 194/76, 174/4290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 194/76, 174/4290 quickly i.e. 8439 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 194/76, 174/4290 is 8439.

LCM(194/76, 174/4290) = 8439

LCM of 194/76, 174/4290

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 194/76,174/4290

Given numbers are 194/76,174/4290

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 194,174

Least Common Multiple of Numerators i.e. LCM of 194,174 is 16878.

GCF of Denominators means GCF of 76,4290 as per the given fractions.

GCF of 76,4290 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 194,174

LCM of Fractions 194/76,174/4290 is 8439

2 194, 174
97, 87

∴ So the LCM of the given numbers is 2 x 97 x 87 = 16878

Least Common Multiple of 194,174 with GCF Formula

Least Common Multiple of 194,174 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 194,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,174) = 2

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

GCF(194,174) x common factors =2 x 1 = 2

LCM(194,174) = ( 194 × 174 ) / 2

LCM(194,174) = 33756 / 2

LCM(194,174) = 16878


Lets's calculate GCF of 76,4290

2 76, 4290
38, 2145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16878/2

Therefore the LCM of Fractions 194/76,174/4290 is 8439

Greatest Common Factor of 76,4290 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,4290 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 4290

List of positive integer factors of 4290 that divides 4290 without a remainder.

1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290

Greatest Common Factor

We found the factors 76,4290 . The biggest common factor number is the GCF number.
So the greatest common factor 76,4290 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 194/76, 174/4290

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 194/76, 174/4290?

Answer: LCM of Numerators as per given numbers 194/76, 174/4290 is

LCM of Numerators i.e. for 194,174 is 16878

GCF of denominators i.e. for 76,4290 is 2.

Thus, LCM of Fractions is 8439.Finally, LCM of Fractions for 194/76, 174/4290 is 8439.