Least Common Multiple of 475/775, 569/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 475/775, 569/164 quickly i.e. 270275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/775, 569/164 is 270275.

LCM(475/775, 569/164) = 270275

LCM of 475/775, 569/164

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 475/775,569/164

Given numbers are 475/775,569/164

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 475,569

Least Common Multiple of Numerators i.e. LCM of 475,569 is 270275.

GCF of Denominators means GCF of 775,164 as per the given fractions.

GCF of 775,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,569

LCM of Fractions 475/775,569/164 is 270275

Given numbers has no common factors except 1. So, there LCM is their product i.e 270275

Least Common Multiple of 475,569 with GCF Formula

Least Common Multiple of 475,569 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 475,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,569) = 1

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

GCF(475,569) x common factors =1 x 1 = 1

LCM(475,569) = ( 475 × 569 ) / 1

LCM(475,569) = 270275 / 1

LCM(475,569) = 270275


Lets's calculate GCF of 775,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270275/1

Therefore the LCM of Fractions 475/775,569/164 is 270275

Greatest Common Factor of 775,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,164 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

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 775,164 . The biggest common factor number is the GCF number.
So the greatest common factor 775,164 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 475/775, 569/164

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 475/775, 569/164?

Answer: LCM of Numerators as per given numbers 475/775, 569/164 is

LCM of Numerators i.e. for 475,569 is 270275

GCF of denominators i.e. for 775,164 is 1.

Thus, LCM of Fractions is 270275.Finally, LCM of Fractions for 475/775, 569/164 is 270275.