Least Common Multiple of 556/809, 5024/1168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 556/809, 5024/1168 quickly i.e. 698336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 556/809, 5024/1168 is 698336.

LCM(556/809, 5024/1168) = 698336

LCM of 556/809, 5024/1168

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 556/809,5024/1168

Given numbers are 556/809,5024/1168

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 556,5024

Least Common Multiple of Numerators i.e. LCM of 556,5024 is 698336.

GCF of Denominators means GCF of 809,1168 as per the given fractions.

GCF of 809,1168 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 556,5024

LCM of Fractions 556/809,5024/1168 is 698336

2 556, 5024
2 278, 2512
139, 1256

∴ So the LCM of the given numbers is 2 x 2 x 139 x 1256 = 698336

Least Common Multiple of 556,5024 with GCF Formula

Least Common Multiple of 556,5024 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 556,5024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,5024) = 4

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

GCF(556,5024) x common factors =4 x 1 = 4

LCM(556,5024) = ( 556 × 5024 ) / 4

LCM(556,5024) = 2793344 / 4

LCM(556,5024) = 698336


Lets's calculate GCF of 809,1168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 698336/1

Therefore the LCM of Fractions 556/809,5024/1168 is 698336

Greatest Common Factor of 809,1168 By Matching Biggest Common Factor Method

Greatest Common Factor of 809,1168 By Matching Biggest Common Factor Method

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Factors of 1168

List of positive integer factors of 1168 that divides 1168 without a remainder.

1,2,4,8,16,73,146,292,584,1168

Greatest Common Factor

We found the factors 809,1168 . The biggest common factor number is the GCF number.
So the greatest common factor 809,1168 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 556/809, 5024/1168

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 556/809, 5024/1168?

Answer: LCM of Numerators as per given numbers 556/809, 5024/1168 is

LCM of Numerators i.e. for 556,5024 is 698336

GCF of denominators i.e. for 809,1168 is 1.

Thus, LCM of Fractions is 698336.Finally, LCM of Fractions for 556/809, 5024/1168 is 698336.