Least Common Multiple of 299/76, 322/2927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 299/76, 322/2927 quickly i.e. 4186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/76, 322/2927 is 4186.

LCM(299/76, 322/2927) = 4186

LCM of 299/76, 322/2927

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 299/76,322/2927

Given numbers are 299/76,322/2927

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 299,322

Least Common Multiple of Numerators i.e. LCM of 299,322 is 4186.

GCF of Denominators means GCF of 76,2927 as per the given fractions.

GCF of 76,2927 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,322

LCM of Fractions 299/76,322/2927 is 4186

23 299, 322
13, 14

∴ So the LCM of the given numbers is 23 x 13 x 14 = 4186

Least Common Multiple of 299,322 with GCF Formula

Least Common Multiple of 299,322 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 299,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,322) = 23

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

GCF(299,322) x common factors =23 x 1 = 23

LCM(299,322) = ( 299 × 322 ) / 23

LCM(299,322) = 96278 / 23

LCM(299,322) = 4186


Lets's calculate GCF of 76,2927

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4186/1

Therefore the LCM of Fractions 299/76,322/2927 is 4186

Greatest Common Factor of 76,2927 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,2927 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 2927

List of positive integer factors of 2927 that divides 2927 without a remainder.

1,2927

Greatest Common Factor

We found the factors 76,2927 . The biggest common factor number is the GCF number.
So the greatest common factor 76,2927 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 299/76, 322/2927

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 299/76, 322/2927?

Answer: LCM of Numerators as per given numbers 299/76, 322/2927 is

LCM of Numerators i.e. for 299,322 is 4186

GCF of denominators i.e. for 76,2927 is 1.

Thus, LCM of Fractions is 4186.Finally, LCM of Fractions for 299/76, 322/2927 is 4186.