Least Common Multiple of 27/88, 82/70, 120/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/88, 82/70, 120/82 quickly i.e. 22140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/88, 82/70, 120/82 is 22140.

LCM(27/88, 82/70, 120/82) = 22140

LCM of 27/88, 82/70, 120/82

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 27/88,82/70,120/82

Given numbers are 27/88,82/70,120/82

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 27,82,120

Least Common Multiple of Numerators i.e. LCM of 27,82,120 is 44280.

GCF of Denominators means GCF of 88,70,82 as per the given fractions.

GCF of 88,70,82 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,82,120

LCM of Fractions 27/88,82/70,120/82 is 22140

2 27, 82, 120
3 27, 41, 60
9, 41, 20

∴ So the LCM of the given numbers is 2 x 3 x 9 x 41 x 20 = 44280

Least Common Multiple of 27,82,120 with GCF Formula

Least Common Multiple of 27,82,120 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 27,82,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,82,120) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(27,82,120) x common factors =1 x 6 = 6

LCM(27,82,120) = ( 27 × 82 × 120 ) / 6

LCM(27,82,120) = 265680 / 6

LCM(27,82,120) = 44280


Lets's calculate GCF of 88,70,82

2 88, 70, 82
44, 35, 41

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44280/2

Therefore the LCM of Fractions 27/88,82/70,120/82 is 22140

Greatest Common Factor of 88,70,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,70,82 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 88,70,82 . The biggest common factor number is the GCF number.
So the greatest common factor 88,70,82 is 2.


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 27/88, 82/70, 120/82

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 27/88, 82/70, 120/82?

Answer: LCM of Numerators as per given numbers 27/88, 82/70, 120/82 is

LCM of Numerators i.e. for 27,82,120 is 44280

GCF of denominators i.e. for 88,70,82 is 2.

Thus, LCM of Fractions is 22140.Finally, LCM of Fractions for 27/88, 82/70, 120/82 is 22140.