Least Common Multiple of 923/115, 267/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 923/115, 267/565 quickly i.e. 246441/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 923/115, 267/565 is 246441/5.

LCM(923/115, 267/565) = 246441/5

LCM of 923/115, 267/565

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 923/115,267/565

Given numbers are 923/115,267/565

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 923,267

Least Common Multiple of Numerators i.e. LCM of 923,267 is 246441.

GCF of Denominators means GCF of 115,565 as per the given fractions.

GCF of 115,565 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 923,267

LCM of Fractions 923/115,267/565 is 246441/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 246441

Least Common Multiple of 923,267 with GCF Formula

Least Common Multiple of 923,267 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 923,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,267) = 1

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

GCF(923,267) x common factors =1 x 1 = 1

LCM(923,267) = ( 923 × 267 ) / 1

LCM(923,267) = 246441 / 1

LCM(923,267) = 246441


Lets's calculate GCF of 115,565

5 115, 565
23, 113

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246441/5

Therefore the LCM of Fractions 923/115,267/565 is 246441/5

Greatest Common Factor of 115,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,565 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 115,565 . The biggest common factor number is the GCF number.
So the greatest common factor 115,565 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 923/115, 267/565

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 923/115, 267/565?

Answer: LCM of Numerators as per given numbers 923/115, 267/565 is

LCM of Numerators i.e. for 923,267 is 246441

GCF of denominators i.e. for 115,565 is 5.

Thus, LCM of Fractions is 246441/5.Finally, LCM of Fractions for 923/115, 267/565 is 246441/5.