Least Common Multiple of 82/76, 715/19, 459/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/76, 715/19, 459/982 quickly i.e. 26911170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/76, 715/19, 459/982 is 26911170.

LCM(82/76, 715/19, 459/982) = 26911170

LCM of 82/76, 715/19, 459/982

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 82/76,715/19,459/982

Given numbers are 82/76,715/19,459/982

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 82,715,459

Least Common Multiple of Numerators i.e. LCM of 82,715,459 is 26911170.

GCF of Denominators means GCF of 76,19,982 as per the given fractions.

GCF of 76,19,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,715,459

LCM of Fractions 82/76,715/19,459/982 is 26911170

Given numbers has no common factors except 1. So, there LCM is their product i.e 26911170

Least Common Multiple of 82,715,459 with GCF Formula

Least Common Multiple of 82,715,459 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 82,715,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,715,459) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(82,715,459) x common factors =1 x 1 = 1

LCM(82,715,459) = ( 82 × 715 × 459 ) / 1

LCM(82,715,459) = 26911170 / 1

LCM(82,715,459) = 26911170


Lets's calculate GCF of 76,19,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26911170/1

Therefore the LCM of Fractions 82/76,715/19,459/982 is 26911170

Greatest Common Factor of 76,19,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,19,982 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 76,19,982 . The biggest common factor number is the GCF number.
So the greatest common factor 76,19,982 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 82/76, 715/19, 459/982

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 82/76, 715/19, 459/982?

Answer: LCM of Numerators as per given numbers 82/76, 715/19, 459/982 is

LCM of Numerators i.e. for 82,715,459 is 26911170

GCF of denominators i.e. for 76,19,982 is 1.

Thus, LCM of Fractions is 26911170.Finally, LCM of Fractions for 82/76, 715/19, 459/982 is 26911170.