Least Common Multiple of 746/12, 392/8296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/12, 392/8296 quickly i.e. 36554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/12, 392/8296 is 36554.

LCM(746/12, 392/8296) = 36554

LCM of 746/12, 392/8296

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 746/12,392/8296

Given numbers are 746/12,392/8296

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 746,392

Least Common Multiple of Numerators i.e. LCM of 746,392 is 146216.

GCF of Denominators means GCF of 12,8296 as per the given fractions.

GCF of 12,8296 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,392

LCM of Fractions 746/12,392/8296 is 36554

2 746, 392
373, 196

∴ So the LCM of the given numbers is 2 x 373 x 196 = 146216

Least Common Multiple of 746,392 with GCF Formula

Least Common Multiple of 746,392 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 746,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,392) = 2

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

GCF(746,392) x common factors =2 x 1 = 2

LCM(746,392) = ( 746 × 392 ) / 2

LCM(746,392) = 292432 / 2

LCM(746,392) = 146216


Lets's calculate GCF of 12,8296

2 12, 8296
2 6, 4148
3, 2074

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146216/4

Therefore the LCM of Fractions 746/12,392/8296 is 36554

Greatest Common Factor of 12,8296 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,8296 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 8296

List of positive integer factors of 8296 that divides 8296 without a remainder.

1,2,4,8,17,34,61,68,122,136,244,488,1037,2074,4148,8296

Greatest Common Factor

We found the factors 12,8296 . The biggest common factor number is the GCF number.
So the greatest common factor 12,8296 is 4.


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 746/12, 392/8296

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 746/12, 392/8296?

Answer: LCM of Numerators as per given numbers 746/12, 392/8296 is

LCM of Numerators i.e. for 746,392 is 146216

GCF of denominators i.e. for 12,8296 is 4.

Thus, LCM of Fractions is 36554.Finally, LCM of Fractions for 746/12, 392/8296 is 36554.