Least Common Multiple of 507/24, 527/6836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 507/24, 527/6836 quickly i.e. 267189/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/24, 527/6836 is 267189/4.

LCM(507/24, 527/6836) = 267189/4

LCM of 507/24, 527/6836

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 507/24,527/6836

Given numbers are 507/24,527/6836

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 507,527

Least Common Multiple of Numerators i.e. LCM of 507,527 is 267189.

GCF of Denominators means GCF of 24,6836 as per the given fractions.

GCF of 24,6836 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,527

LCM of Fractions 507/24,527/6836 is 267189/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 267189

Least Common Multiple of 507,527 with GCF Formula

Least Common Multiple of 507,527 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 507,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,527) = 1

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

GCF(507,527) x common factors =1 x 1 = 1

LCM(507,527) = ( 507 × 527 ) / 1

LCM(507,527) = 267189 / 1

LCM(507,527) = 267189


Lets's calculate GCF of 24,6836

2 24, 6836
2 12, 3418
6, 1709

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267189/4

Therefore the LCM of Fractions 507/24,527/6836 is 267189/4

Greatest Common Factor of 24,6836 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,6836 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 6836

List of positive integer factors of 6836 that divides 6836 without a remainder.

1,2,4,1709,3418,6836

Greatest Common Factor

We found the factors 24,6836 . The biggest common factor number is the GCF number.
So the greatest common factor 24,6836 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 507/24, 527/6836

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 507/24, 527/6836?

Answer: LCM of Numerators as per given numbers 507/24, 527/6836 is

LCM of Numerators i.e. for 507,527 is 267189

GCF of denominators i.e. for 24,6836 is 4.

Thus, LCM of Fractions is 267189/4.Finally, LCM of Fractions for 507/24, 527/6836 is 267189/4.