Least Common Multiple of 300/42, 738/8023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/42, 738/8023 quickly i.e. 36900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/42, 738/8023 is 36900.

LCM(300/42, 738/8023) = 36900

LCM of 300/42, 738/8023

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 300/42,738/8023

Given numbers are 300/42,738/8023

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 300,738

Least Common Multiple of Numerators i.e. LCM of 300,738 is 36900.

GCF of Denominators means GCF of 42,8023 as per the given fractions.

GCF of 42,8023 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,738

LCM of Fractions 300/42,738/8023 is 36900

2 300, 738
3 150, 369
50, 123

∴ So the LCM of the given numbers is 2 x 3 x 50 x 123 = 36900

Least Common Multiple of 300,738 with GCF Formula

Least Common Multiple of 300,738 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 300,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,738) = 6

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

GCF(300,738) x common factors =6 x 1 = 6

LCM(300,738) = ( 300 × 738 ) / 6

LCM(300,738) = 221400 / 6

LCM(300,738) = 36900


Lets's calculate GCF of 42,8023

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36900/1

Therefore the LCM of Fractions 300/42,738/8023 is 36900

Greatest Common Factor of 42,8023 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,8023 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 8023

List of positive integer factors of 8023 that divides 8023 without a remainder.

1,71,113,8023

Greatest Common Factor

We found the factors 42,8023 . The biggest common factor number is the GCF number.
So the greatest common factor 42,8023 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 300/42, 738/8023

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 300/42, 738/8023?

Answer: LCM of Numerators as per given numbers 300/42, 738/8023 is

LCM of Numerators i.e. for 300,738 is 36900

GCF of denominators i.e. for 42,8023 is 1.

Thus, LCM of Fractions is 36900.Finally, LCM of Fractions for 300/42, 738/8023 is 36900.