Least Common Multiple of 746/16, 406/5086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/16, 406/5086 quickly i.e. 75719 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/16, 406/5086 is 75719.

LCM(746/16, 406/5086) = 75719

LCM of 746/16, 406/5086

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 746/16,406/5086

Given numbers are 746/16,406/5086

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 746,406

Least Common Multiple of Numerators i.e. LCM of 746,406 is 151438.

GCF of Denominators means GCF of 16,5086 as per the given fractions.

GCF of 16,5086 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,406

LCM of Fractions 746/16,406/5086 is 75719

2 746, 406
373, 203

∴ So the LCM of the given numbers is 2 x 373 x 203 = 151438

Least Common Multiple of 746,406 with GCF Formula

Least Common Multiple of 746,406 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 746,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,406) = 2

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

GCF(746,406) x common factors =2 x 1 = 2

LCM(746,406) = ( 746 × 406 ) / 2

LCM(746,406) = 302876 / 2

LCM(746,406) = 151438


Lets's calculate GCF of 16,5086

2 16, 5086
8, 2543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151438/2

Therefore the LCM of Fractions 746/16,406/5086 is 75719

Greatest Common Factor of 16,5086 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,5086 By Matching Biggest Common Factor Method

Factors of 16

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

1,2,4,8,16

Factors of 5086

List of positive integer factors of 5086 that divides 5086 without a remainder.

1,2,2543,5086

Greatest Common Factor

We found the factors 16,5086 . The biggest common factor number is the GCF number.
So the greatest common factor 16,5086 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 746/16, 406/5086

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 746/16, 406/5086?

Answer: LCM of Numerators as per given numbers 746/16, 406/5086 is

LCM of Numerators i.e. for 746,406 is 151438

GCF of denominators i.e. for 16,5086 is 2.

Thus, LCM of Fractions is 75719.Finally, LCM of Fractions for 746/16, 406/5086 is 75719.