Least Common Multiple of 18/347, 792/574, 292/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/347, 792/574, 292/180 quickly i.e. 57816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/347, 792/574, 292/180 is 57816.

LCM(18/347, 792/574, 292/180) = 57816

LCM of 18/347, 792/574, 292/180

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 18/347,792/574,292/180

Given numbers are 18/347,792/574,292/180

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 18,792,292

Least Common Multiple of Numerators i.e. LCM of 18,792,292 is 57816.

GCF of Denominators means GCF of 347,574,180 as per the given fractions.

GCF of 347,574,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,792,292

LCM of Fractions 18/347,792/574,292/180 is 57816

2 18, 792, 292
2 9, 396, 146
3 9, 198, 73
3 3, 66, 73
1, 22, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 22 x 73 = 57816

Least Common Multiple of 18,792,292 with GCF Formula

Least Common Multiple of 18,792,292 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 18,792,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,792,292) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(18,792,292) x common factors =2 x 36 = 72

LCM(18,792,292) = ( 18 × 792 × 292 ) / 72

LCM(18,792,292) = 4162752 / 72

LCM(18,792,292) = 57816


Lets's calculate GCF of 347,574,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57816/1

Therefore the LCM of Fractions 18/347,792/574,292/180 is 57816

Greatest Common Factor of 347,574,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,574,180 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 347,574,180 . The biggest common factor number is the GCF number.
So the greatest common factor 347,574,180 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 18/347, 792/574, 292/180

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 18/347, 792/574, 292/180?

Answer: LCM of Numerators as per given numbers 18/347, 792/574, 292/180 is

LCM of Numerators i.e. for 18,792,292 is 57816

GCF of denominators i.e. for 347,574,180 is 1.

Thus, LCM of Fractions is 57816.Finally, LCM of Fractions for 18/347, 792/574, 292/180 is 57816.