Least Common Multiple of 556/104, 4916/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 556/104, 4916/793 quickly i.e. 683324/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 556/104, 4916/793 is 683324/13.

LCM(556/104, 4916/793) = 683324/13

LCM of 556/104, 4916/793

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 556/104,4916/793

Given numbers are 556/104,4916/793

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 556,4916

Least Common Multiple of Numerators i.e. LCM of 556,4916 is 683324.

GCF of Denominators means GCF of 104,793 as per the given fractions.

GCF of 104,793 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 556,4916

LCM of Fractions 556/104,4916/793 is 683324/13

2 556, 4916
2 278, 2458
139, 1229

∴ So the LCM of the given numbers is 2 x 2 x 139 x 1229 = 683324

Least Common Multiple of 556,4916 with GCF Formula

Least Common Multiple of 556,4916 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 556,4916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,4916) = 4

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

GCF(556,4916) x common factors =4 x 1 = 4

LCM(556,4916) = ( 556 × 4916 ) / 4

LCM(556,4916) = 2733296 / 4

LCM(556,4916) = 683324


Lets's calculate GCF of 104,793

13 104, 793
8, 61

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683324/13

Therefore the LCM of Fractions 556/104,4916/793 is 683324/13

Greatest Common Factor of 104,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,793 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 104,793 . The biggest common factor number is the GCF number.
So the greatest common factor 104,793 is 13.


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 556/104, 4916/793

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 556/104, 4916/793?

Answer: LCM of Numerators as per given numbers 556/104, 4916/793 is

LCM of Numerators i.e. for 556,4916 is 683324

GCF of denominators i.e. for 104,793 is 13.

Thus, LCM of Fractions is 683324/13.Finally, LCM of Fractions for 556/104, 4916/793 is 683324/13.