Least Common Multiple of 574/567, 9267/8509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 574/567, 9267/8509 quickly i.e. 5319258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/567, 9267/8509 is 5319258.

LCM(574/567, 9267/8509) = 5319258

LCM of 574/567, 9267/8509

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 574/567,9267/8509

Given numbers are 574/567,9267/8509

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 574,9267

Least Common Multiple of Numerators i.e. LCM of 574,9267 is 5319258.

GCF of Denominators means GCF of 567,8509 as per the given fractions.

GCF of 567,8509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,9267

LCM of Fractions 574/567,9267/8509 is 5319258

Given numbers has no common factors except 1. So, there LCM is their product i.e 5319258

Least Common Multiple of 574,9267 with GCF Formula

Least Common Multiple of 574,9267 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 574,9267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,9267) = 1

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

GCF(574,9267) x common factors =1 x 1 = 1

LCM(574,9267) = ( 574 × 9267 ) / 1

LCM(574,9267) = 5319258 / 1

LCM(574,9267) = 5319258


Lets's calculate GCF of 567,8509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5319258/1

Therefore the LCM of Fractions 574/567,9267/8509 is 5319258

Greatest Common Factor of 567,8509 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,8509 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 8509

List of positive integer factors of 8509 that divides 8509 without a remainder.

1,67,127,8509

Greatest Common Factor

We found the factors 567,8509 . The biggest common factor number is the GCF number.
So the greatest common factor 567,8509 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 574/567, 9267/8509

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 574/567, 9267/8509?

Answer: LCM of Numerators as per given numbers 574/567, 9267/8509 is

LCM of Numerators i.e. for 574,9267 is 5319258

GCF of denominators i.e. for 567,8509 is 1.

Thus, LCM of Fractions is 5319258.Finally, LCM of Fractions for 574/567, 9267/8509 is 5319258.