Least Common Multiple of 36/982, 184/307, 424/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/982, 184/307, 424/691 quickly i.e. 87768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/982, 184/307, 424/691 is 87768.

LCM(36/982, 184/307, 424/691) = 87768

LCM of 36/982, 184/307, 424/691

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 36/982,184/307,424/691

Given numbers are 36/982,184/307,424/691

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 36,184,424

Least Common Multiple of Numerators i.e. LCM of 36,184,424 is 87768.

GCF of Denominators means GCF of 982,307,691 as per the given fractions.

GCF of 982,307,691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,184,424

LCM of Fractions 36/982,184/307,424/691 is 87768

2 36, 184, 424
2 18, 92, 212
2 9, 46, 106
9, 23, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 23 x 53 = 87768

Least Common Multiple of 36,184,424 with GCF Formula

Least Common Multiple of 36,184,424 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 36,184,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,184,424) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(36,184,424) x common factors =4 x 8 = 32

LCM(36,184,424) = ( 36 × 184 × 424 ) / 32

LCM(36,184,424) = 2808576 / 32

LCM(36,184,424) = 87768


Lets's calculate GCF of 982,307,691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87768/1

Therefore the LCM of Fractions 36/982,184/307,424/691 is 87768

Greatest Common Factor of 982,307,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,307,691 By Matching Biggest Common Factor Method

Factors of 982

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

1,2,491,982

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 982,307,691 . The biggest common factor number is the GCF number.
So the greatest common factor 982,307,691 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 36/982, 184/307, 424/691

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 36/982, 184/307, 424/691?

Answer: LCM of Numerators as per given numbers 36/982, 184/307, 424/691 is

LCM of Numerators i.e. for 36,184,424 is 87768

GCF of denominators i.e. for 982,307,691 is 1.

Thus, LCM of Fractions is 87768.Finally, LCM of Fractions for 36/982, 184/307, 424/691 is 87768.