Least Common Multiple of 507/923, 6761/8582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/923, 6761/8582 quickly i.e. 3427827 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/923, 6761/8582 is 3427827.

LCM(507/923, 6761/8582) = 3427827

LCM of 507/923, 6761/8582

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 507/923,6761/8582

Given numbers are 507/923,6761/8582

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 507,6761

Least Common Multiple of Numerators i.e. LCM of 507,6761 is 3427827.

GCF of Denominators means GCF of 923,8582 as per the given fractions.

GCF of 923,8582 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,6761

LCM of Fractions 507/923,6761/8582 is 3427827

Given numbers has no common factors except 1. So, there LCM is their product i.e 3427827

Least Common Multiple of 507,6761 with GCF Formula

Least Common Multiple of 507,6761 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 507,6761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,6761) = 1

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

GCF(507,6761) x common factors =1 x 1 = 1

LCM(507,6761) = ( 507 × 6761 ) / 1

LCM(507,6761) = 3427827 / 1

LCM(507,6761) = 3427827


Lets's calculate GCF of 923,8582

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3427827/1

Therefore the LCM of Fractions 507/923,6761/8582 is 3427827

Greatest Common Factor of 923,8582 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,8582 By Matching Biggest Common Factor Method

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 8582

List of positive integer factors of 8582 that divides 8582 without a remainder.

1,2,7,14,613,1226,4291,8582

Greatest Common Factor

We found the factors 923,8582 . The biggest common factor number is the GCF number.
So the greatest common factor 923,8582 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 507/923, 6761/8582

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 507/923, 6761/8582?

Answer: LCM of Numerators as per given numbers 507/923, 6761/8582 is

LCM of Numerators i.e. for 507,6761 is 3427827

GCF of denominators i.e. for 923,8582 is 1.

Thus, LCM of Fractions is 3427827.Finally, LCM of Fractions for 507/923, 6761/8582 is 3427827.