Least Common Multiple of 82/991, 396/323, 990/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/991, 396/323, 990/708 quickly i.e. 81180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/991, 396/323, 990/708 is 81180.

LCM(82/991, 396/323, 990/708) = 81180

LCM of 82/991, 396/323, 990/708

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 82/991,396/323,990/708

Given numbers are 82/991,396/323,990/708

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 82,396,990

Least Common Multiple of Numerators i.e. LCM of 82,396,990 is 81180.

GCF of Denominators means GCF of 991,323,708 as per the given fractions.

GCF of 991,323,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,396,990

LCM of Fractions 82/991,396/323,990/708 is 81180

2 82, 396, 990
3 41, 198, 495
3 41, 66, 165
11 41, 22, 55
41, 2, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 41 x 2 x 5 = 81180

Least Common Multiple of 82,396,990 with GCF Formula

Least Common Multiple of 82,396,990 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 82,396,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,396,990) = 2

common factors(in case of two or more numbers have common factors) = 198

GCF(82,396,990) x common factors =2 x 198 = 396

LCM(82,396,990) = ( 82 × 396 × 990 ) / 396

LCM(82,396,990) = 32147280 / 396

LCM(82,396,990) = 81180


Lets's calculate GCF of 991,323,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81180/1

Therefore the LCM of Fractions 82/991,396/323,990/708 is 81180

Greatest Common Factor of 991,323,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,323,708 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 991,323,708 . The biggest common factor number is the GCF number.
So the greatest common factor 991,323,708 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 82/991, 396/323, 990/708

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 82/991, 396/323, 990/708?

Answer: LCM of Numerators as per given numbers 82/991, 396/323, 990/708 is

LCM of Numerators i.e. for 82,396,990 is 81180

GCF of denominators i.e. for 991,323,708 is 1.

Thus, LCM of Fractions is 81180.Finally, LCM of Fractions for 82/991, 396/323, 990/708 is 81180.