Least Common Multiple of 20/30, 45/236, 318/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/30, 45/236, 318/723 quickly i.e. 9540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/30, 45/236, 318/723 is 9540.

LCM(20/30, 45/236, 318/723) = 9540

LCM of 20/30, 45/236, 318/723

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 20/30,45/236,318/723

Given numbers are 20/30,45/236,318/723

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 20,45,318

Least Common Multiple of Numerators i.e. LCM of 20,45,318 is 9540.

GCF of Denominators means GCF of 30,236,723 as per the given fractions.

GCF of 30,236,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,45,318

LCM of Fractions 20/30,45/236,318/723 is 9540

2 20, 45, 318
3 10, 45, 159
5 10, 15, 53
2, 3, 53

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 3 x 53 = 9540

Least Common Multiple of 20,45,318 with GCF Formula

Least Common Multiple of 20,45,318 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 20,45,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,45,318) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(20,45,318) x common factors =1 x 30 = 30

LCM(20,45,318) = ( 20 × 45 × 318 ) / 30

LCM(20,45,318) = 286200 / 30

LCM(20,45,318) = 9540


Lets's calculate GCF of 30,236,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9540/1

Therefore the LCM of Fractions 20/30,45/236,318/723 is 9540

Greatest Common Factor of 30,236,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,236,723 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 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 30,236,723 . The biggest common factor number is the GCF number.
So the greatest common factor 30,236,723 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 20/30, 45/236, 318/723

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 20/30, 45/236, 318/723?

Answer: LCM of Numerators as per given numbers 20/30, 45/236, 318/723 is

LCM of Numerators i.e. for 20,45,318 is 9540

GCF of denominators i.e. for 30,236,723 is 1.

Thus, LCM of Fractions is 9540.Finally, LCM of Fractions for 20/30, 45/236, 318/723 is 9540.