Least Common Multiple of 4735/504, 5836/8297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4735/504, 5836/8297 quickly i.e. 27633460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4735/504, 5836/8297 is 27633460.

LCM(4735/504, 5836/8297) = 27633460

LCM of 4735/504, 5836/8297

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 4735/504,5836/8297

Given numbers are 4735/504,5836/8297

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 4735,5836

Least Common Multiple of Numerators i.e. LCM of 4735,5836 is 27633460.

GCF of Denominators means GCF of 504,8297 as per the given fractions.

GCF of 504,8297 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4735,5836

LCM of Fractions 4735/504,5836/8297 is 27633460

Given numbers has no common factors except 1. So, there LCM is their product i.e 27633460

Least Common Multiple of 4735,5836 with GCF Formula

Least Common Multiple of 4735,5836 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 4735,5836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4735,5836) = 1

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

GCF(4735,5836) x common factors =1 x 1 = 1

LCM(4735,5836) = ( 4735 × 5836 ) / 1

LCM(4735,5836) = 27633460 / 1

LCM(4735,5836) = 27633460


Lets's calculate GCF of 504,8297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27633460/1

Therefore the LCM of Fractions 4735/504,5836/8297 is 27633460

Greatest Common Factor of 504,8297 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,8297 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 8297

List of positive integer factors of 8297 that divides 8297 without a remainder.

1,8297

Greatest Common Factor

We found the factors 504,8297 . The biggest common factor number is the GCF number.
So the greatest common factor 504,8297 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 4735/504, 5836/8297

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 4735/504, 5836/8297?

Answer: LCM of Numerators as per given numbers 4735/504, 5836/8297 is

LCM of Numerators i.e. for 4735,5836 is 27633460

GCF of denominators i.e. for 504,8297 is 1.

Thus, LCM of Fractions is 27633460.Finally, LCM of Fractions for 4735/504, 5836/8297 is 27633460.