Least Common Multiple of 537/72, 174/8505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/72, 174/8505 quickly i.e. 31146/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/72, 174/8505 is 31146/9.

LCM(537/72, 174/8505) = 31146/9

LCM of 537/72, 174/8505

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 537/72,174/8505

Given numbers are 537/72,174/8505

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 537,174

Least Common Multiple of Numerators i.e. LCM of 537,174 is 31146.

GCF of Denominators means GCF of 72,8505 as per the given fractions.

GCF of 72,8505 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,174

LCM of Fractions 537/72,174/8505 is 31146/9

3 537, 174
179, 58

∴ So the LCM of the given numbers is 3 x 179 x 58 = 31146

Least Common Multiple of 537,174 with GCF Formula

Least Common Multiple of 537,174 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 537,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,174) = 3

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

GCF(537,174) x common factors =3 x 1 = 3

LCM(537,174) = ( 537 × 174 ) / 3

LCM(537,174) = 93438 / 3

LCM(537,174) = 31146


Lets's calculate GCF of 72,8505

3 72, 8505
3 24, 2835
8, 945

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31146/9

Therefore the LCM of Fractions 537/72,174/8505 is 31146/9

Greatest Common Factor of 72,8505 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,8505 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 8505

List of positive integer factors of 8505 that divides 8505 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505

Greatest Common Factor

We found the factors 72,8505 . The biggest common factor number is the GCF number.
So the greatest common factor 72,8505 is 9.


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 537/72, 174/8505

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 537/72, 174/8505?

Answer: LCM of Numerators as per given numbers 537/72, 174/8505 is

LCM of Numerators i.e. for 537,174 is 31146

GCF of denominators i.e. for 72,8505 is 9.

Thus, LCM of Fractions is 31146/9.Finally, LCM of Fractions for 537/72, 174/8505 is 31146/9.