Least Common Multiple of 117/416, 823/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 117/416, 823/559 quickly i.e. 7407 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 117/416, 823/559 is 7407.

LCM(117/416, 823/559) = 7407

LCM of 117/416, 823/559

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 117/416,823/559

Given numbers are 117/416,823/559

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 117,823

Least Common Multiple of Numerators i.e. LCM of 117,823 is 96291.

GCF of Denominators means GCF of 416,559 as per the given fractions.

GCF of 416,559 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 117,823

LCM of Fractions 117/416,823/559 is 7407

Given numbers has no common factors except 1. So, there LCM is their product i.e 96291

Least Common Multiple of 117,823 with GCF Formula

Least Common Multiple of 117,823 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 117,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,823) = 1

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

GCF(117,823) x common factors =1 x 1 = 1

LCM(117,823) = ( 117 × 823 ) / 1

LCM(117,823) = 96291 / 1

LCM(117,823) = 96291


Lets's calculate GCF of 416,559

13 416, 559
32, 43

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96291/13

Therefore the LCM of Fractions 117/416,823/559 is 7407

Greatest Common Factor of 416,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,559 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 416,559 . The biggest common factor number is the GCF number.
So the greatest common factor 416,559 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 117/416, 823/559

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 117/416, 823/559?

Answer: LCM of Numerators as per given numbers 117/416, 823/559 is

LCM of Numerators i.e. for 117,823 is 96291

GCF of denominators i.e. for 416,559 is 13.

Thus, LCM of Fractions is 7407.Finally, LCM of Fractions for 117/416, 823/559 is 7407.