Least Common Multiple of 300/33, 851/4575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/33, 851/4575 quickly i.e. 85100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/33, 851/4575 is 85100.

LCM(300/33, 851/4575) = 85100

LCM of 300/33, 851/4575

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 300/33,851/4575

Given numbers are 300/33,851/4575

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 300,851

Least Common Multiple of Numerators i.e. LCM of 300,851 is 255300.

GCF of Denominators means GCF of 33,4575 as per the given fractions.

GCF of 33,4575 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,851

LCM of Fractions 300/33,851/4575 is 85100

Given numbers has no common factors except 1. So, there LCM is their product i.e 255300

Least Common Multiple of 300,851 with GCF Formula

Least Common Multiple of 300,851 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 300,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,851) = 1

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

GCF(300,851) x common factors =1 x 1 = 1

LCM(300,851) = ( 300 × 851 ) / 1

LCM(300,851) = 255300 / 1

LCM(300,851) = 255300


Lets's calculate GCF of 33,4575

3 33, 4575
11, 1525

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255300/3

Therefore the LCM of Fractions 300/33,851/4575 is 85100

Greatest Common Factor of 33,4575 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,4575 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 4575

List of positive integer factors of 4575 that divides 4575 without a remainder.

1,3,5,15,25,61,75,183,305,915,1525,4575

Greatest Common Factor

We found the factors 33,4575 . The biggest common factor number is the GCF number.
So the greatest common factor 33,4575 is 3.


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 300/33, 851/4575

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 300/33, 851/4575?

Answer: LCM of Numerators as per given numbers 300/33, 851/4575 is

LCM of Numerators i.e. for 300,851 is 255300

GCF of denominators i.e. for 33,4575 is 3.

Thus, LCM of Fractions is 85100.Finally, LCM of Fractions for 300/33, 851/4575 is 85100.