Least Common Multiple of 507/24, 376/6814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/24, 376/6814 quickly i.e. 95316 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, 376/6814 is 95316.

LCM(507/24, 376/6814) = 95316

LCM of 507/24, 376/6814

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 507/24,376/6814

Given numbers are 507/24,376/6814

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 507,376

Least Common Multiple of Numerators i.e. LCM of 507,376 is 190632.

GCF of Denominators means GCF of 24,6814 as per the given fractions.

GCF of 24,6814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,376

LCM of Fractions 507/24,376/6814 is 95316

Given numbers has no common factors except 1. So, there LCM is their product i.e 190632

Least Common Multiple of 507,376 with GCF Formula

Least Common Multiple of 507,376 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 507,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,376) = 1

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

GCF(507,376) x common factors =1 x 1 = 1

LCM(507,376) = ( 507 × 376 ) / 1

LCM(507,376) = 190632 / 1

LCM(507,376) = 190632


Lets's calculate GCF of 24,6814

2 24, 6814
12, 3407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190632/2

Therefore the LCM of Fractions 507/24,376/6814 is 95316

Greatest Common Factor of 24,6814 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,6814 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 6814

List of positive integer factors of 6814 that divides 6814 without a remainder.

1,2,3407,6814

Greatest Common Factor

We found the factors 24,6814 . The biggest common factor number is the GCF number.
So the greatest common factor 24,6814 is 2.


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 507/24, 376/6814

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, 376/6814?

Answer: LCM of Numerators as per given numbers 507/24, 376/6814 is

LCM of Numerators i.e. for 507,376 is 190632

GCF of denominators i.e. for 24,6814 is 2.

Thus, LCM of Fractions is 95316.Finally, LCM of Fractions for 507/24, 376/6814 is 95316.