Least Common Multiple of 11/504, 1793/6656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/504, 1793/6656 quickly i.e. 1793/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/504, 1793/6656 is 1793/8.

LCM(11/504, 1793/6656) = 1793/8

LCM of 11/504, 1793/6656

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 11/504,1793/6656

Given numbers are 11/504,1793/6656

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 11,1793

Least Common Multiple of Numerators i.e. LCM of 11,1793 is 1793.

GCF of Denominators means GCF of 504,6656 as per the given fractions.

GCF of 504,6656 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,1793

LCM of Fractions 11/504,1793/6656 is 1793/8

11 11, 1793
1, 163

∴ So the LCM of the given numbers is 11 x 1 x 163 = 1793

Least Common Multiple of 11,1793 with GCF Formula

Least Common Multiple of 11,1793 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 11,1793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,1793) = 11

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

GCF(11,1793) x common factors =11 x 1 = 11

LCM(11,1793) = ( 11 × 1793 ) / 11

LCM(11,1793) = 19723 / 11

LCM(11,1793) = 1793


Lets's calculate GCF of 504,6656

2 504, 6656
2 252, 3328
2 126, 1664
63, 832

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1793/8

Therefore the LCM of Fractions 11/504,1793/6656 is 1793/8

Greatest Common Factor of 504,6656 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,6656 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 6656

List of positive integer factors of 6656 that divides 6656 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,128,208,256,416,512,832,1664,3328,6656

Greatest Common Factor

We found the factors 504,6656 . The biggest common factor number is the GCF number.
So the greatest common factor 504,6656 is 8.


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 11/504, 1793/6656

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 11/504, 1793/6656?

Answer: LCM of Numerators as per given numbers 11/504, 1793/6656 is

LCM of Numerators i.e. for 11,1793 is 1793

GCF of denominators i.e. for 504,6656 is 8.

Thus, LCM of Fractions is 1793/8.Finally, LCM of Fractions for 11/504, 1793/6656 is 1793/8.