Least Common Multiple of 319/44, 508/8828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/44, 508/8828 quickly i.e. 40513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/44, 508/8828 is 40513.

LCM(319/44, 508/8828) = 40513

LCM of 319/44, 508/8828

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 319/44,508/8828

Given numbers are 319/44,508/8828

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 319,508

Least Common Multiple of Numerators i.e. LCM of 319,508 is 162052.

GCF of Denominators means GCF of 44,8828 as per the given fractions.

GCF of 44,8828 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,508

LCM of Fractions 319/44,508/8828 is 40513

Given numbers has no common factors except 1. So, there LCM is their product i.e 162052

Least Common Multiple of 319,508 with GCF Formula

Least Common Multiple of 319,508 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 319,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,508) = 1

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

GCF(319,508) x common factors =1 x 1 = 1

LCM(319,508) = ( 319 × 508 ) / 1

LCM(319,508) = 162052 / 1

LCM(319,508) = 162052


Lets's calculate GCF of 44,8828

2 44, 8828
2 22, 4414
11, 2207

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162052/4

Therefore the LCM of Fractions 319/44,508/8828 is 40513

Greatest Common Factor of 44,8828 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,8828 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 8828

List of positive integer factors of 8828 that divides 8828 without a remainder.

1,2,4,2207,4414,8828

Greatest Common Factor

We found the factors 44,8828 . The biggest common factor number is the GCF number.
So the greatest common factor 44,8828 is 4.


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 319/44, 508/8828

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 319/44, 508/8828?

Answer: LCM of Numerators as per given numbers 319/44, 508/8828 is

LCM of Numerators i.e. for 319,508 is 162052

GCF of denominators i.e. for 44,8828 is 4.

Thus, LCM of Fractions is 40513.Finally, LCM of Fractions for 319/44, 508/8828 is 40513.