Least Common Multiple of 214/76, 794/3994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/76, 794/3994 quickly i.e. 42479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/76, 794/3994 is 42479.

LCM(214/76, 794/3994) = 42479

LCM of 214/76, 794/3994

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 214/76,794/3994

Given numbers are 214/76,794/3994

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 214,794

Least Common Multiple of Numerators i.e. LCM of 214,794 is 84958.

GCF of Denominators means GCF of 76,3994 as per the given fractions.

GCF of 76,3994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,794

LCM of Fractions 214/76,794/3994 is 42479

2 214, 794
107, 397

∴ So the LCM of the given numbers is 2 x 107 x 397 = 84958

Least Common Multiple of 214,794 with GCF Formula

Least Common Multiple of 214,794 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 214,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,794) = 2

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

GCF(214,794) x common factors =2 x 1 = 2

LCM(214,794) = ( 214 × 794 ) / 2

LCM(214,794) = 169916 / 2

LCM(214,794) = 84958


Lets's calculate GCF of 76,3994

2 76, 3994
38, 1997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84958/2

Therefore the LCM of Fractions 214/76,794/3994 is 42479

Greatest Common Factor of 76,3994 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,3994 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 3994

List of positive integer factors of 3994 that divides 3994 without a remainder.

1,2,1997,3994

Greatest Common Factor

We found the factors 76,3994 . The biggest common factor number is the GCF number.
So the greatest common factor 76,3994 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 214/76, 794/3994

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 214/76, 794/3994?

Answer: LCM of Numerators as per given numbers 214/76, 794/3994 is

LCM of Numerators i.e. for 214,794 is 84958

GCF of denominators i.e. for 76,3994 is 2.

Thus, LCM of Fractions is 42479.Finally, LCM of Fractions for 214/76, 794/3994 is 42479.