Least Common Multiple of 28/240, 9725/3708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/240, 9725/3708 quickly i.e. 272300/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/240, 9725/3708 is 272300/12.

LCM(28/240, 9725/3708) = 272300/12

LCM of 28/240, 9725/3708

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 28/240,9725/3708

Given numbers are 28/240,9725/3708

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 28,9725

Least Common Multiple of Numerators i.e. LCM of 28,9725 is 272300.

GCF of Denominators means GCF of 240,3708 as per the given fractions.

GCF of 240,3708 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,9725

LCM of Fractions 28/240,9725/3708 is 272300/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 272300

Least Common Multiple of 28,9725 with GCF Formula

Least Common Multiple of 28,9725 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 28,9725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,9725) = 1

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

GCF(28,9725) x common factors =1 x 1 = 1

LCM(28,9725) = ( 28 × 9725 ) / 1

LCM(28,9725) = 272300 / 1

LCM(28,9725) = 272300


Lets's calculate GCF of 240,3708

2 240, 3708
2 120, 1854
3 60, 927
20, 309

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272300/12

Therefore the LCM of Fractions 28/240,9725/3708 is 272300/12

Greatest Common Factor of 240,3708 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,3708 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 3708

List of positive integer factors of 3708 that divides 3708 without a remainder.

1,2,3,4,6,9,12,18,36,103,206,309,412,618,927,1236,1854,3708

Greatest Common Factor

We found the factors 240,3708 . The biggest common factor number is the GCF number.
So the greatest common factor 240,3708 is 12.


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 28/240, 9725/3708

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 28/240, 9725/3708?

Answer: LCM of Numerators as per given numbers 28/240, 9725/3708 is

LCM of Numerators i.e. for 28,9725 is 272300

GCF of denominators i.e. for 240,3708 is 12.

Thus, LCM of Fractions is 272300/12.Finally, LCM of Fractions for 28/240, 9725/3708 is 272300/12.