Least Common Multiple of 82/48, 12/60, 175/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/48, 12/60, 175/897 quickly i.e. 28700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/48, 12/60, 175/897 is 28700.

LCM(82/48, 12/60, 175/897) = 28700

LCM of 82/48, 12/60, 175/897

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 82/48,12/60,175/897

Given numbers are 82/48,12/60,175/897

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 82,12,175

Least Common Multiple of Numerators i.e. LCM of 82,12,175 is 86100.

GCF of Denominators means GCF of 48,60,897 as per the given fractions.

GCF of 48,60,897 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,12,175

LCM of Fractions 82/48,12/60,175/897 is 28700

2 82, 12, 175
41, 6, 175

∴ So the LCM of the given numbers is 2 x 41 x 6 x 175 = 86100

Least Common Multiple of 82,12,175 with GCF Formula

Least Common Multiple of 82,12,175 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 82,12,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,12,175) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,12,175) x common factors =1 x 2 = 2

LCM(82,12,175) = ( 82 × 12 × 175 ) / 2

LCM(82,12,175) = 172200 / 2

LCM(82,12,175) = 86100


Lets's calculate GCF of 48,60,897

3 48, 60, 897
16, 20, 299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86100/3

Therefore the LCM of Fractions 82/48,12/60,175/897 is 28700

Greatest Common Factor of 48,60,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,60,897 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 48,60,897 . The biggest common factor number is the GCF number.
So the greatest common factor 48,60,897 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 82/48, 12/60, 175/897

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 82/48, 12/60, 175/897?

Answer: LCM of Numerators as per given numbers 82/48, 12/60, 175/897 is

LCM of Numerators i.e. for 82,12,175 is 86100

GCF of denominators i.e. for 48,60,897 is 3.

Thus, LCM of Fractions is 28700.Finally, LCM of Fractions for 82/48, 12/60, 175/897 is 28700.