Least Common Multiple of 82/280, 11/978, 275/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/280, 11/978, 275/659 quickly i.e. 22550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/280, 11/978, 275/659 is 22550.

LCM(82/280, 11/978, 275/659) = 22550

LCM of 82/280, 11/978, 275/659

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 82/280,11/978,275/659

Given numbers are 82/280,11/978,275/659

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 82,11,275

Least Common Multiple of Numerators i.e. LCM of 82,11,275 is 22550.

GCF of Denominators means GCF of 280,978,659 as per the given fractions.

GCF of 280,978,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,11,275

LCM of Fractions 82/280,11/978,275/659 is 22550

11 82, 11, 275
82, 1, 25

∴ So the LCM of the given numbers is 11 x 82 x 1 x 25 = 22550

Least Common Multiple of 82,11,275 with GCF Formula

Least Common Multiple of 82,11,275 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 82,11,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,11,275) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(82,11,275) x common factors =1 x 11 = 11

LCM(82,11,275) = ( 82 × 11 × 275 ) / 11

LCM(82,11,275) = 248050 / 11

LCM(82,11,275) = 22550


Lets's calculate GCF of 280,978,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22550/1

Therefore the LCM of Fractions 82/280,11/978,275/659 is 22550

Greatest Common Factor of 280,978,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,978,659 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 280,978,659 . The biggest common factor number is the GCF number.
So the greatest common factor 280,978,659 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 82/280, 11/978, 275/659

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 82/280, 11/978, 275/659?

Answer: LCM of Numerators as per given numbers 82/280, 11/978, 275/659 is

LCM of Numerators i.e. for 82,11,275 is 22550

GCF of denominators i.e. for 280,978,659 is 1.

Thus, LCM of Fractions is 22550.Finally, LCM of Fractions for 82/280, 11/978, 275/659 is 22550.