Least Common Multiple of 18/72, 35/116, 703/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/72, 35/116, 703/578 quickly i.e. 221445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/72, 35/116, 703/578 is 221445.

LCM(18/72, 35/116, 703/578) = 221445

LCM of 18/72, 35/116, 703/578

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 18/72,35/116,703/578

Given numbers are 18/72,35/116,703/578

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 18,35,703

Least Common Multiple of Numerators i.e. LCM of 18,35,703 is 442890.

GCF of Denominators means GCF of 72,116,578 as per the given fractions.

GCF of 72,116,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,35,703

LCM of Fractions 18/72,35/116,703/578 is 221445

Given numbers has no common factors except 1. So, there LCM is their product i.e 442890

Least Common Multiple of 18,35,703 with GCF Formula

Least Common Multiple of 18,35,703 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 18,35,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,35,703) = 1

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

GCF(18,35,703) x common factors =1 x 1 = 1

LCM(18,35,703) = ( 18 × 35 × 703 ) / 1

LCM(18,35,703) = 442890 / 1

LCM(18,35,703) = 442890


Lets's calculate GCF of 72,116,578

2 72, 116, 578
36, 58, 289

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442890/2

Therefore the LCM of Fractions 18/72,35/116,703/578 is 221445

Greatest Common Factor of 72,116,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,116,578 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 72,116,578 . The biggest common factor number is the GCF number.
So the greatest common factor 72,116,578 is 2.


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 18/72, 35/116, 703/578

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 18/72, 35/116, 703/578?

Answer: LCM of Numerators as per given numbers 18/72, 35/116, 703/578 is

LCM of Numerators i.e. for 18,35,703 is 442890

GCF of denominators i.e. for 72,116,578 is 2.

Thus, LCM of Fractions is 221445.Finally, LCM of Fractions for 18/72, 35/116, 703/578 is 221445.