Least Common Multiple of 72/189, 528/499, 170/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/189, 528/499, 170/486 quickly i.e. 134640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/189, 528/499, 170/486 is 134640.

LCM(72/189, 528/499, 170/486) = 134640

LCM of 72/189, 528/499, 170/486

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 72/189,528/499,170/486

Given numbers are 72/189,528/499,170/486

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 72,528,170

Least Common Multiple of Numerators i.e. LCM of 72,528,170 is 134640.

GCF of Denominators means GCF of 189,499,486 as per the given fractions.

GCF of 189,499,486 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,528,170

LCM of Fractions 72/189,528/499,170/486 is 134640

2 72, 528, 170
2 36, 264, 85
2 18, 132, 85
3 9, 66, 85
3, 22, 85

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 22 x 85 = 134640

Least Common Multiple of 72,528,170 with GCF Formula

Least Common Multiple of 72,528,170 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 72,528,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,528,170) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(72,528,170) x common factors =2 x 24 = 48

LCM(72,528,170) = ( 72 × 528 × 170 ) / 48

LCM(72,528,170) = 6462720 / 48

LCM(72,528,170) = 134640


Lets's calculate GCF of 189,499,486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134640/1

Therefore the LCM of Fractions 72/189,528/499,170/486 is 134640

Greatest Common Factor of 189,499,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,499,486 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 189,499,486 . The biggest common factor number is the GCF number.
So the greatest common factor 189,499,486 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 72/189, 528/499, 170/486

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 72/189, 528/499, 170/486?

Answer: LCM of Numerators as per given numbers 72/189, 528/499, 170/486 is

LCM of Numerators i.e. for 72,528,170 is 134640

GCF of denominators i.e. for 189,499,486 is 1.

Thus, LCM of Fractions is 134640.Finally, LCM of Fractions for 72/189, 528/499, 170/486 is 134640.