Least Common Multiple of 18/598, 734/868, 741/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/598, 734/868, 741/904 quickly i.e. 815841 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/598, 734/868, 741/904 is 815841.

LCM(18/598, 734/868, 741/904) = 815841

LCM of 18/598, 734/868, 741/904

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 18/598,734/868,741/904

Given numbers are 18/598,734/868,741/904

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 18,734,741

Least Common Multiple of Numerators i.e. LCM of 18,734,741 is 1631682.

GCF of Denominators means GCF of 598,868,904 as per the given fractions.

GCF of 598,868,904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,734,741

LCM of Fractions 18/598,734/868,741/904 is 815841

2 18, 734, 741
3 9, 367, 741
3, 367, 247

∴ So the LCM of the given numbers is 2 x 3 x 3 x 367 x 247 = 1631682

Least Common Multiple of 18,734,741 with GCF Formula

Least Common Multiple of 18,734,741 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 18,734,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,734,741) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(18,734,741) x common factors =1 x 6 = 6

LCM(18,734,741) = ( 18 × 734 × 741 ) / 6

LCM(18,734,741) = 9790092 / 6

LCM(18,734,741) = 1631682


Lets's calculate GCF of 598,868,904

2 598, 868, 904
299, 434, 452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1631682/2

Therefore the LCM of Fractions 18/598,734/868,741/904 is 815841

Greatest Common Factor of 598,868,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,868,904 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 598,868,904 . The biggest common factor number is the GCF number.
So the greatest common factor 598,868,904 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 18/598, 734/868, 741/904

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 18/598, 734/868, 741/904?

Answer: LCM of Numerators as per given numbers 18/598, 734/868, 741/904 is

LCM of Numerators i.e. for 18,734,741 is 1631682

GCF of denominators i.e. for 598,868,904 is 2.

Thus, LCM of Fractions is 815841.Finally, LCM of Fractions for 18/598, 734/868, 741/904 is 815841.