Least Common Multiple of 5987/694, 5973/8524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5987/694, 5973/8524 quickly i.e. 35760351/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5987/694, 5973/8524 is 35760351/2.

LCM(5987/694, 5973/8524) = 35760351/2

LCM of 5987/694, 5973/8524

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 5987/694,5973/8524

Given numbers are 5987/694,5973/8524

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 5987,5973

Least Common Multiple of Numerators i.e. LCM of 5987,5973 is 35760351.

GCF of Denominators means GCF of 694,8524 as per the given fractions.

GCF of 694,8524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5987,5973

LCM of Fractions 5987/694,5973/8524 is 35760351/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 35760351

Least Common Multiple of 5987,5973 with GCF Formula

Least Common Multiple of 5987,5973 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 5987,5973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5987,5973) = 1

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

GCF(5987,5973) x common factors =1 x 1 = 1

LCM(5987,5973) = ( 5987 × 5973 ) / 1

LCM(5987,5973) = 35760351 / 1

LCM(5987,5973) = 35760351


Lets's calculate GCF of 694,8524

2 694, 8524
347, 4262

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35760351/2

Therefore the LCM of Fractions 5987/694,5973/8524 is 35760351/2

Greatest Common Factor of 694,8524 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,8524 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 8524

List of positive integer factors of 8524 that divides 8524 without a remainder.

1,2,4,2131,4262,8524

Greatest Common Factor

We found the factors 694,8524 . The biggest common factor number is the GCF number.
So the greatest common factor 694,8524 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 5987/694, 5973/8524

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 5987/694, 5973/8524?

Answer: LCM of Numerators as per given numbers 5987/694, 5973/8524 is

LCM of Numerators i.e. for 5987,5973 is 35760351

GCF of denominators i.e. for 694,8524 is 2.

Thus, LCM of Fractions is 35760351/2.Finally, LCM of Fractions for 5987/694, 5973/8524 is 35760351/2.