Least Common Multiple of 111/453, 415/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 111/453, 415/300 quickly i.e. 15355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 111/453, 415/300 is 15355.

LCM(111/453, 415/300) = 15355

LCM of 111/453, 415/300

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 111/453,415/300

Given numbers are 111/453,415/300

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 111,415

Least Common Multiple of Numerators i.e. LCM of 111,415 is 46065.

GCF of Denominators means GCF of 453,300 as per the given fractions.

GCF of 453,300 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 111,415

LCM of Fractions 111/453,415/300 is 15355

Given numbers has no common factors except 1. So, there LCM is their product i.e 46065

Least Common Multiple of 111,415 with GCF Formula

Least Common Multiple of 111,415 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 111,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,415) = 1

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

GCF(111,415) x common factors =1 x 1 = 1

LCM(111,415) = ( 111 × 415 ) / 1

LCM(111,415) = 46065 / 1

LCM(111,415) = 46065


Lets's calculate GCF of 453,300

3 453, 300
151, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46065/3

Therefore the LCM of Fractions 111/453,415/300 is 15355

Greatest Common Factor of 453,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,300 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 453,300 . The biggest common factor number is the GCF number.
So the greatest common factor 453,300 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 111/453, 415/300

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 111/453, 415/300?

Answer: LCM of Numerators as per given numbers 111/453, 415/300 is

LCM of Numerators i.e. for 111,415 is 46065

GCF of denominators i.e. for 453,300 is 3.

Thus, LCM of Fractions is 15355.Finally, LCM of Fractions for 111/453, 415/300 is 15355.