Least Common Multiple of 147/523, 3985/8774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 147/523, 3985/8774 quickly i.e. 585795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 147/523, 3985/8774 is 585795.

LCM(147/523, 3985/8774) = 585795

LCM of 147/523, 3985/8774

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 147/523,3985/8774

Given numbers are 147/523,3985/8774

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 147,3985

Least Common Multiple of Numerators i.e. LCM of 147,3985 is 585795.

GCF of Denominators means GCF of 523,8774 as per the given fractions.

GCF of 523,8774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 147,3985

LCM of Fractions 147/523,3985/8774 is 585795

Given numbers has no common factors except 1. So, there LCM is their product i.e 585795

Least Common Multiple of 147,3985 with GCF Formula

Least Common Multiple of 147,3985 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 147,3985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(147,3985) = 1

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

GCF(147,3985) x common factors =1 x 1 = 1

LCM(147,3985) = ( 147 × 3985 ) / 1

LCM(147,3985) = 585795 / 1

LCM(147,3985) = 585795


Lets's calculate GCF of 523,8774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 585795/1

Therefore the LCM of Fractions 147/523,3985/8774 is 585795

Greatest Common Factor of 523,8774 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,8774 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 8774

List of positive integer factors of 8774 that divides 8774 without a remainder.

1,2,41,82,107,214,4387,8774

Greatest Common Factor

We found the factors 523,8774 . The biggest common factor number is the GCF number.
So the greatest common factor 523,8774 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 147/523, 3985/8774

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 147/523, 3985/8774?

Answer: LCM of Numerators as per given numbers 147/523, 3985/8774 is

LCM of Numerators i.e. for 147,3985 is 585795

GCF of denominators i.e. for 523,8774 is 1.

Thus, LCM of Fractions is 585795.Finally, LCM of Fractions for 147/523, 3985/8774 is 585795.