Least Common Multiple of 18/788, 797/734, 271/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/788, 797/734, 271/742 quickly i.e. 1943883 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/788, 797/734, 271/742 is 1943883.

LCM(18/788, 797/734, 271/742) = 1943883

LCM of 18/788, 797/734, 271/742

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 18/788,797/734,271/742

Given numbers are 18/788,797/734,271/742

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 18,797,271

Least Common Multiple of Numerators i.e. LCM of 18,797,271 is 3887766.

GCF of Denominators means GCF of 788,734,742 as per the given fractions.

GCF of 788,734,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,797,271

LCM of Fractions 18/788,797/734,271/742 is 1943883

Given numbers has no common factors except 1. So, there LCM is their product i.e 3887766

Least Common Multiple of 18,797,271 with GCF Formula

Least Common Multiple of 18,797,271 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 18,797,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,797,271) = 1

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

GCF(18,797,271) x common factors =1 x 1 = 1

LCM(18,797,271) = ( 18 × 797 × 271 ) / 1

LCM(18,797,271) = 3887766 / 1

LCM(18,797,271) = 3887766


Lets's calculate GCF of 788,734,742

2 788, 734, 742
394, 367, 371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3887766/2

Therefore the LCM of Fractions 18/788,797/734,271/742 is 1943883

Greatest Common Factor of 788,734,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,734,742 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 788,734,742 . The biggest common factor number is the GCF number.
So the greatest common factor 788,734,742 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 18/788, 797/734, 271/742

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 18/788, 797/734, 271/742?

Answer: LCM of Numerators as per given numbers 18/788, 797/734, 271/742 is

LCM of Numerators i.e. for 18,797,271 is 3887766

GCF of denominators i.e. for 788,734,742 is 2.

Thus, LCM of Fractions is 1943883.Finally, LCM of Fractions for 18/788, 797/734, 271/742 is 1943883.