Least Common Multiple of 80/595, 936/30, 404/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/595, 936/30, 404/450 quickly i.e. 189072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/595, 936/30, 404/450 is 189072.

LCM(80/595, 936/30, 404/450) = 189072

LCM of 80/595, 936/30, 404/450

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 80/595,936/30,404/450

Given numbers are 80/595,936/30,404/450

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 80,936,404

Least Common Multiple of Numerators i.e. LCM of 80,936,404 is 945360.

GCF of Denominators means GCF of 595,30,450 as per the given fractions.

GCF of 595,30,450 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,936,404

LCM of Fractions 80/595,936/30,404/450 is 189072

2 80, 936, 404
2 40, 468, 202
2 20, 234, 101
10, 117, 101

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 117 x 101 = 945360

Least Common Multiple of 80,936,404 with GCF Formula

Least Common Multiple of 80,936,404 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 80,936,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,936,404) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(80,936,404) x common factors =4 x 8 = 32

LCM(80,936,404) = ( 80 × 936 × 404 ) / 32

LCM(80,936,404) = 30251520 / 32

LCM(80,936,404) = 945360


Lets's calculate GCF of 595,30,450

5 595, 30, 450
119, 6, 90

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 945360/5

Therefore the LCM of Fractions 80/595,936/30,404/450 is 189072

Greatest Common Factor of 595,30,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,30,450 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 595,30,450 . The biggest common factor number is the GCF number.
So the greatest common factor 595,30,450 is 5.


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 80/595, 936/30, 404/450

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 80/595, 936/30, 404/450?

Answer: LCM of Numerators as per given numbers 80/595, 936/30, 404/450 is

LCM of Numerators i.e. for 80,936,404 is 945360

GCF of denominators i.e. for 595,30,450 is 5.

Thus, LCM of Fractions is 189072.Finally, LCM of Fractions for 80/595, 936/30, 404/450 is 189072.