Least Common Multiple of 475/885, 3523/1602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 475/885, 3523/1602 quickly i.e. 1673425/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/885, 3523/1602 is 1673425/3.

LCM(475/885, 3523/1602) = 1673425/3

LCM of 475/885, 3523/1602

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 475/885,3523/1602

Given numbers are 475/885,3523/1602

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 475,3523

Least Common Multiple of Numerators i.e. LCM of 475,3523 is 1673425.

GCF of Denominators means GCF of 885,1602 as per the given fractions.

GCF of 885,1602 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,3523

LCM of Fractions 475/885,3523/1602 is 1673425/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1673425

Least Common Multiple of 475,3523 with GCF Formula

Least Common Multiple of 475,3523 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 475,3523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,3523) = 1

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

GCF(475,3523) x common factors =1 x 1 = 1

LCM(475,3523) = ( 475 × 3523 ) / 1

LCM(475,3523) = 1673425 / 1

LCM(475,3523) = 1673425


Lets's calculate GCF of 885,1602

3 885, 1602
295, 534

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1673425/3

Therefore the LCM of Fractions 475/885,3523/1602 is 1673425/3

Greatest Common Factor of 885,1602 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,1602 By Matching Biggest Common Factor Method

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 1602

List of positive integer factors of 1602 that divides 1602 without a remainder.

1,2,3,6,9,18,89,178,267,534,801,1602

Greatest Common Factor

We found the factors 885,1602 . The biggest common factor number is the GCF number.
So the greatest common factor 885,1602 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 475/885, 3523/1602

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 475/885, 3523/1602?

Answer: LCM of Numerators as per given numbers 475/885, 3523/1602 is

LCM of Numerators i.e. for 475,3523 is 1673425

GCF of denominators i.e. for 885,1602 is 3.

Thus, LCM of Fractions is 1673425/3.Finally, LCM of Fractions for 475/885, 3523/1602 is 1673425/3.