Least Common Multiple of 23/266, 47/975, 565/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/266, 47/975, 565/825 quickly i.e. 610765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/266, 47/975, 565/825 is 610765.

LCM(23/266, 47/975, 565/825) = 610765

LCM of 23/266, 47/975, 565/825

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 23/266,47/975,565/825

Given numbers are 23/266,47/975,565/825

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 23,47,565

Least Common Multiple of Numerators i.e. LCM of 23,47,565 is 610765.

GCF of Denominators means GCF of 266,975,825 as per the given fractions.

GCF of 266,975,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,47,565

LCM of Fractions 23/266,47/975,565/825 is 610765

Given numbers has no common factors except 1. So, there LCM is their product i.e 610765

Least Common Multiple of 23,47,565 with GCF Formula

Least Common Multiple of 23,47,565 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 23,47,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,47,565) = 1

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

GCF(23,47,565) x common factors =1 x 1 = 1

LCM(23,47,565) = ( 23 × 47 × 565 ) / 1

LCM(23,47,565) = 610765 / 1

LCM(23,47,565) = 610765


Lets's calculate GCF of 266,975,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 610765/1

Therefore the LCM of Fractions 23/266,47/975,565/825 is 610765

Greatest Common Factor of 266,975,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,975,825 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 266,975,825 . The biggest common factor number is the GCF number.
So the greatest common factor 266,975,825 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 23/266, 47/975, 565/825

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 23/266, 47/975, 565/825?

Answer: LCM of Numerators as per given numbers 23/266, 47/975, 565/825 is

LCM of Numerators i.e. for 23,47,565 is 610765

GCF of denominators i.e. for 266,975,825 is 1.

Thus, LCM of Fractions is 610765.Finally, LCM of Fractions for 23/266, 47/975, 565/825 is 610765.