Least Common Multiple of 735/563, 6728/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/563, 6728/847 quickly i.e. 4945080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/563, 6728/847 is 4945080.

LCM(735/563, 6728/847) = 4945080

LCM of 735/563, 6728/847

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 735/563,6728/847

Given numbers are 735/563,6728/847

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 735,6728

Least Common Multiple of Numerators i.e. LCM of 735,6728 is 4945080.

GCF of Denominators means GCF of 563,847 as per the given fractions.

GCF of 563,847 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,6728

LCM of Fractions 735/563,6728/847 is 4945080

Given numbers has no common factors except 1. So, there LCM is their product i.e 4945080

Least Common Multiple of 735,6728 with GCF Formula

Least Common Multiple of 735,6728 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 735,6728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,6728) = 1

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

GCF(735,6728) x common factors =1 x 1 = 1

LCM(735,6728) = ( 735 × 6728 ) / 1

LCM(735,6728) = 4945080 / 1

LCM(735,6728) = 4945080


Lets's calculate GCF of 563,847

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4945080/1

Therefore the LCM of Fractions 735/563,6728/847 is 4945080

Greatest Common Factor of 563,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,847 By Matching Biggest Common Factor Method

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 563,847 . The biggest common factor number is the GCF number.
So the greatest common factor 563,847 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 735/563, 6728/847

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 735/563, 6728/847?

Answer: LCM of Numerators as per given numbers 735/563, 6728/847 is

LCM of Numerators i.e. for 735,6728 is 4945080

GCF of denominators i.e. for 563,847 is 1.

Thus, LCM of Fractions is 4945080.Finally, LCM of Fractions for 735/563, 6728/847 is 4945080.