Least Common Multiple of 304/42, 319/4504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/42, 319/4504 quickly i.e. 48488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/42, 319/4504 is 48488.

LCM(304/42, 319/4504) = 48488

LCM of 304/42, 319/4504

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 304/42,319/4504

Given numbers are 304/42,319/4504

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 304,319

Least Common Multiple of Numerators i.e. LCM of 304,319 is 96976.

GCF of Denominators means GCF of 42,4504 as per the given fractions.

GCF of 42,4504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,319

LCM of Fractions 304/42,319/4504 is 48488

Given numbers has no common factors except 1. So, there LCM is their product i.e 96976

Least Common Multiple of 304,319 with GCF Formula

Least Common Multiple of 304,319 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 304,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,319) = 1

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

GCF(304,319) x common factors =1 x 1 = 1

LCM(304,319) = ( 304 × 319 ) / 1

LCM(304,319) = 96976 / 1

LCM(304,319) = 96976


Lets's calculate GCF of 42,4504

2 42, 4504
21, 2252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96976/2

Therefore the LCM of Fractions 304/42,319/4504 is 48488

Greatest Common Factor of 42,4504 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,4504 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 4504

List of positive integer factors of 4504 that divides 4504 without a remainder.

1,2,4,8,563,1126,2252,4504

Greatest Common Factor

We found the factors 42,4504 . The biggest common factor number is the GCF number.
So the greatest common factor 42,4504 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 304/42, 319/4504

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 304/42, 319/4504?

Answer: LCM of Numerators as per given numbers 304/42, 319/4504 is

LCM of Numerators i.e. for 304,319 is 96976

GCF of denominators i.e. for 42,4504 is 2.

Thus, LCM of Fractions is 48488.Finally, LCM of Fractions for 304/42, 319/4504 is 48488.