Least Common Multiple of 87/732, 67/294, 272/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/732, 67/294, 272/687 quickly i.e. 528496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/732, 67/294, 272/687 is 528496.

LCM(87/732, 67/294, 272/687) = 528496

LCM of 87/732, 67/294, 272/687

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 87/732,67/294,272/687

Given numbers are 87/732,67/294,272/687

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 87,67,272

Least Common Multiple of Numerators i.e. LCM of 87,67,272 is 1585488.

GCF of Denominators means GCF of 732,294,687 as per the given fractions.

GCF of 732,294,687 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,67,272

LCM of Fractions 87/732,67/294,272/687 is 528496

Given numbers has no common factors except 1. So, there LCM is their product i.e 1585488

Least Common Multiple of 87,67,272 with GCF Formula

Least Common Multiple of 87,67,272 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 87,67,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,67,272) = 1

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

GCF(87,67,272) x common factors =1 x 1 = 1

LCM(87,67,272) = ( 87 × 67 × 272 ) / 1

LCM(87,67,272) = 1585488 / 1

LCM(87,67,272) = 1585488


Lets's calculate GCF of 732,294,687

3 732, 294, 687
244, 98, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1585488/3

Therefore the LCM of Fractions 87/732,67/294,272/687 is 528496

Greatest Common Factor of 732,294,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,294,687 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 732,294,687 . The biggest common factor number is the GCF number.
So the greatest common factor 732,294,687 is 3.


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 87/732, 67/294, 272/687

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 87/732, 67/294, 272/687?

Answer: LCM of Numerators as per given numbers 87/732, 67/294, 272/687 is

LCM of Numerators i.e. for 87,67,272 is 1585488

GCF of denominators i.e. for 732,294,687 is 3.

Thus, LCM of Fractions is 528496.Finally, LCM of Fractions for 87/732, 67/294, 272/687 is 528496.