Least Common Multiple of 18/423, 980/175, 747/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/423, 980/175, 747/592 quickly i.e. 732060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/423, 980/175, 747/592 is 732060.

LCM(18/423, 980/175, 747/592) = 732060

LCM of 18/423, 980/175, 747/592

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 18/423,980/175,747/592

Given numbers are 18/423,980/175,747/592

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 18,980,747

Least Common Multiple of Numerators i.e. LCM of 18,980,747 is 732060.

GCF of Denominators means GCF of 423,175,592 as per the given fractions.

GCF of 423,175,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,980,747

LCM of Fractions 18/423,980/175,747/592 is 732060

2 18, 980, 747
3 9, 490, 747
3 3, 490, 249
1, 490, 83

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 490 x 83 = 732060

Least Common Multiple of 18,980,747 with GCF Formula

Least Common Multiple of 18,980,747 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 18,980,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,980,747) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(18,980,747) x common factors =1 x 18 = 18

LCM(18,980,747) = ( 18 × 980 × 747 ) / 18

LCM(18,980,747) = 13177080 / 18

LCM(18,980,747) = 732060


Lets's calculate GCF of 423,175,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 732060/1

Therefore the LCM of Fractions 18/423,980/175,747/592 is 732060

Greatest Common Factor of 423,175,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 423,175,592 By Matching Biggest Common Factor Method

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 423,175,592 . The biggest common factor number is the GCF number.
So the greatest common factor 423,175,592 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 18/423, 980/175, 747/592

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 18/423, 980/175, 747/592?

Answer: LCM of Numerators as per given numbers 18/423, 980/175, 747/592 is

LCM of Numerators i.e. for 18,980,747 is 732060

GCF of denominators i.e. for 423,175,592 is 1.

Thus, LCM of Fractions is 732060.Finally, LCM of Fractions for 18/423, 980/175, 747/592 is 732060.