Least Common Multiple of 5/30, 2/80, 3/43, 23/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5/30, 2/80, 3/43, 23/900 quickly i.e. 690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/30, 2/80, 3/43, 23/900 is 690.

LCM(5/30, 2/80, 3/43, 23/900) = 690

LCM of 5/30, 2/80, 3/43, 23/900

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 5/30,2/80,3/43,23/900

Given numbers are 5/30,2/80,3/43,23/900

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 5,2,3,23

Least Common Multiple of Numerators i.e. LCM of 5,2,3,23 is 690.

GCF of Denominators means GCF of 30,80,43,900 as per the given fractions.

GCF of 30,80,43,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,2,3,23

LCM of Fractions 5/30,2/80,3/43,23/900 is 690

Given numbers has no common factors except 1. So, there LCM is their product i.e 690

Least Common Multiple of 5,2,3,23 with GCF Formula

Least Common Multiple of 5,2,3,23 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 5,2,3,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,2,3,23) = 1

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

GCF(5,2,3,23) x common factors =1 x 1 = 1

LCM(5,2,3,23) = ( 5 × 2 × 3 × 23 ) / 1

LCM(5,2,3,23) = 690 / 1

LCM(5,2,3,23) = 690


Lets's calculate GCF of 30,80,43,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690/1

Therefore the LCM of Fractions 5/30,2/80,3/43,23/900 is 690

Greatest Common Factor of 30,80,43,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,80,43,900 By Matching Biggest Common Factor Method

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 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 30,80,43,900 . The biggest common factor number is the GCF number.
So the greatest common factor 30,80,43,900 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 5/30, 2/80, 3/43, 23/900

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 5/30, 2/80, 3/43, 23/900?

Answer: LCM of Numerators as per given numbers 5/30, 2/80, 3/43, 23/900 is

LCM of Numerators i.e. for 5,2,3,23 is 690

GCF of denominators i.e. for 30,80,43,900 is 1.

Thus, LCM of Fractions is 690.Finally, LCM of Fractions for 5/30, 2/80, 3/43, 23/900 is 690.