Least Common Multiple of 82/50, 69/16, 31/76, 59/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/50, 69/16, 31/76, 59/554 quickly i.e. 5174241 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/50, 69/16, 31/76, 59/554 is 5174241.

LCM(82/50, 69/16, 31/76, 59/554) = 5174241

LCM of 82/50, 69/16, 31/76, 59/554

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 82/50,69/16,31/76,59/554

Given numbers are 82/50,69/16,31/76,59/554

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 82,69,31,59

Least Common Multiple of Numerators i.e. LCM of 82,69,31,59 is 10348482.

GCF of Denominators means GCF of 50,16,76,554 as per the given fractions.

GCF of 50,16,76,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,69,31,59

LCM of Fractions 82/50,69/16,31/76,59/554 is 5174241

Given numbers has no common factors except 1. So, there LCM is their product i.e 10348482

Least Common Multiple of 82,69,31,59 with GCF Formula

Least Common Multiple of 82,69,31,59 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 82,69,31,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,69,31,59) = 1

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

GCF(82,69,31,59) x common factors =1 x 1 = 1

LCM(82,69,31,59) = ( 82 × 69 × 31 × 59 ) / 1

LCM(82,69,31,59) = 10348482 / 1

LCM(82,69,31,59) = 10348482


Lets's calculate GCF of 50,16,76,554

2 50, 16, 76, 554
25, 8, 38, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10348482/2

Therefore the LCM of Fractions 82/50,69/16,31/76,59/554 is 5174241

Greatest Common Factor of 50,16,76,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,16,76,554 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 50,16,76,554 . The biggest common factor number is the GCF number.
So the greatest common factor 50,16,76,554 is 2.


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 82/50, 69/16, 31/76, 59/554

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 82/50, 69/16, 31/76, 59/554?

Answer: LCM of Numerators as per given numbers 82/50, 69/16, 31/76, 59/554 is

LCM of Numerators i.e. for 82,69,31,59 is 10348482

GCF of denominators i.e. for 50,16,76,554 is 2.

Thus, LCM of Fractions is 5174241.Finally, LCM of Fractions for 82/50, 69/16, 31/76, 59/554 is 5174241.