Least Common Multiple of 106/582, 9972/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 106/582, 9972/164 quickly i.e. 264258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 106/582, 9972/164 is 264258.

LCM(106/582, 9972/164) = 264258

LCM of 106/582, 9972/164

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 106/582,9972/164

Given numbers are 106/582,9972/164

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 106,9972

Least Common Multiple of Numerators i.e. LCM of 106,9972 is 528516.

GCF of Denominators means GCF of 582,164 as per the given fractions.

GCF of 582,164 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 106,9972

LCM of Fractions 106/582,9972/164 is 264258

2 106, 9972
53, 4986

∴ So the LCM of the given numbers is 2 x 53 x 4986 = 528516

Least Common Multiple of 106,9972 with GCF Formula

Least Common Multiple of 106,9972 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 106,9972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,9972) = 2

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

GCF(106,9972) x common factors =2 x 1 = 2

LCM(106,9972) = ( 106 × 9972 ) / 2

LCM(106,9972) = 1057032 / 2

LCM(106,9972) = 528516


Lets's calculate GCF of 582,164

2 582, 164
291, 82

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528516/2

Therefore the LCM of Fractions 106/582,9972/164 is 264258

Greatest Common Factor of 582,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,164 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 582,164 . The biggest common factor number is the GCF number.
So the greatest common factor 582,164 is 2.


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 106/582, 9972/164

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 106/582, 9972/164?

Answer: LCM of Numerators as per given numbers 106/582, 9972/164 is

LCM of Numerators i.e. for 106,9972 is 528516

GCF of denominators i.e. for 582,164 is 2.

Thus, LCM of Fractions is 264258.Finally, LCM of Fractions for 106/582, 9972/164 is 264258.