Least Common Multiple of 2529/162, 4245/1585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2529/162, 4245/1585 quickly i.e. 3578535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2529/162, 4245/1585 is 3578535.

LCM(2529/162, 4245/1585) = 3578535

LCM of 2529/162, 4245/1585

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 2529/162,4245/1585

Given numbers are 2529/162,4245/1585

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 2529,4245

Least Common Multiple of Numerators i.e. LCM of 2529,4245 is 3578535.

GCF of Denominators means GCF of 162,1585 as per the given fractions.

GCF of 162,1585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2529,4245

LCM of Fractions 2529/162,4245/1585 is 3578535

3 2529, 4245
843, 1415

∴ So the LCM of the given numbers is 3 x 843 x 1415 = 3578535

Least Common Multiple of 2529,4245 with GCF Formula

Least Common Multiple of 2529,4245 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 2529,4245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2529,4245) = 3

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

GCF(2529,4245) x common factors =3 x 1 = 3

LCM(2529,4245) = ( 2529 × 4245 ) / 3

LCM(2529,4245) = 10735605 / 3

LCM(2529,4245) = 3578535


Lets's calculate GCF of 162,1585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3578535/1

Therefore the LCM of Fractions 2529/162,4245/1585 is 3578535

Greatest Common Factor of 162,1585 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,1585 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 1585

List of positive integer factors of 1585 that divides 1585 without a remainder.

1,5,317,1585

Greatest Common Factor

We found the factors 162,1585 . The biggest common factor number is the GCF number.
So the greatest common factor 162,1585 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2529/162, 4245/1585

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 2529/162, 4245/1585?

Answer: LCM of Numerators as per given numbers 2529/162, 4245/1585 is

LCM of Numerators i.e. for 2529,4245 is 3578535

GCF of denominators i.e. for 162,1585 is 1.

Thus, LCM of Fractions is 3578535.Finally, LCM of Fractions for 2529/162, 4245/1585 is 3578535.