Least Common Multiple of 7424/547, 5817/7679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7424/547, 5817/7679 quickly i.e. 43185408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7424/547, 5817/7679 is 43185408.

LCM(7424/547, 5817/7679) = 43185408

LCM of 7424/547, 5817/7679

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 7424/547,5817/7679

Given numbers are 7424/547,5817/7679

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 7424,5817

Least Common Multiple of Numerators i.e. LCM of 7424,5817 is 43185408.

GCF of Denominators means GCF of 547,7679 as per the given fractions.

GCF of 547,7679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7424,5817

LCM of Fractions 7424/547,5817/7679 is 43185408

Given numbers has no common factors except 1. So, there LCM is their product i.e 43185408

Least Common Multiple of 7424,5817 with GCF Formula

Least Common Multiple of 7424,5817 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 7424,5817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7424,5817) = 1

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

GCF(7424,5817) x common factors =1 x 1 = 1

LCM(7424,5817) = ( 7424 × 5817 ) / 1

LCM(7424,5817) = 43185408 / 1

LCM(7424,5817) = 43185408


Lets's calculate GCF of 547,7679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43185408/1

Therefore the LCM of Fractions 7424/547,5817/7679 is 43185408

Greatest Common Factor of 547,7679 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,7679 By Matching Biggest Common Factor Method

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 7679

List of positive integer factors of 7679 that divides 7679 without a remainder.

1,7,1097,7679

Greatest Common Factor

We found the factors 547,7679 . The biggest common factor number is the GCF number.
So the greatest common factor 547,7679 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 7424/547, 5817/7679

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 7424/547, 5817/7679?

Answer: LCM of Numerators as per given numbers 7424/547, 5817/7679 is

LCM of Numerators i.e. for 7424,5817 is 43185408

GCF of denominators i.e. for 547,7679 is 1.

Thus, LCM of Fractions is 43185408.Finally, LCM of Fractions for 7424/547, 5817/7679 is 43185408.