Least Common Multiple of 82/811, 76/960, 314/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/811, 76/960, 314/991 quickly i.e. 489212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/811, 76/960, 314/991 is 489212.

LCM(82/811, 76/960, 314/991) = 489212

LCM of 82/811, 76/960, 314/991

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 82/811,76/960,314/991

Given numbers are 82/811,76/960,314/991

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 82,76,314

Least Common Multiple of Numerators i.e. LCM of 82,76,314 is 489212.

GCF of Denominators means GCF of 811,960,991 as per the given fractions.

GCF of 811,960,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,76,314

LCM of Fractions 82/811,76/960,314/991 is 489212

2 82, 76, 314
41, 38, 157

∴ So the LCM of the given numbers is 2 x 41 x 38 x 157 = 489212

Least Common Multiple of 82,76,314 with GCF Formula

Least Common Multiple of 82,76,314 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 82,76,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,76,314) = 2

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

GCF(82,76,314) x common factors =2 x 2 = 4

LCM(82,76,314) = ( 82 × 76 × 314 ) / 4

LCM(82,76,314) = 1956848 / 4

LCM(82,76,314) = 489212


Lets's calculate GCF of 811,960,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489212/1

Therefore the LCM of Fractions 82/811,76/960,314/991 is 489212

Greatest Common Factor of 811,960,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,960,991 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 991

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

1,991

Greatest Common Factor

We found the factors 811,960,991 . The biggest common factor number is the GCF number.
So the greatest common factor 811,960,991 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 82/811, 76/960, 314/991

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 82/811, 76/960, 314/991?

Answer: LCM of Numerators as per given numbers 82/811, 76/960, 314/991 is

LCM of Numerators i.e. for 82,76,314 is 489212

GCF of denominators i.e. for 811,960,991 is 1.

Thus, LCM of Fractions is 489212.Finally, LCM of Fractions for 82/811, 76/960, 314/991 is 489212.