Least Common Multiple of 457/80, 626/12, 173/26

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/80, 626/12, 173/26 quickly i.e. 24746093 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/80, 626/12, 173/26 is 24746093.

LCM(457/80, 626/12, 173/26) = 24746093

LCM of 457/80, 626/12, 173/26

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 457/80,626/12,173/26

Given numbers are 457/80,626/12,173/26

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 457,626,173

Least Common Multiple of Numerators i.e. LCM of 457,626,173 is 49492186.

GCF of Denominators means GCF of 80,12,26 as per the given fractions.

GCF of 80,12,26 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,626,173

LCM of Fractions 457/80,626/12,173/26 is 24746093

Given numbers has no common factors except 1. So, there LCM is their product i.e 49492186

Least Common Multiple of 457,626,173 with GCF Formula

Least Common Multiple of 457,626,173 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 457,626,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,626,173) = 1

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

GCF(457,626,173) x common factors =1 x 1 = 1

LCM(457,626,173) = ( 457 × 626 × 173 ) / 1

LCM(457,626,173) = 49492186 / 1

LCM(457,626,173) = 49492186


Lets's calculate GCF of 80,12,26

2 80, 12, 26
40, 6, 13

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49492186/2

Therefore the LCM of Fractions 457/80,626/12,173/26 is 24746093

Greatest Common Factor of 80,12,26 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,12,26 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 12

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

1,2,3,4,6,12

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Greatest Common Factor

We found the factors 80,12,26 . The biggest common factor number is the GCF number.
So the greatest common factor 80,12,26 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 457/80, 626/12, 173/26

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 457/80, 626/12, 173/26?

Answer: LCM of Numerators as per given numbers 457/80, 626/12, 173/26 is

LCM of Numerators i.e. for 457,626,173 is 49492186

GCF of denominators i.e. for 80,12,26 is 2.

Thus, LCM of Fractions is 24746093.Finally, LCM of Fractions for 457/80, 626/12, 173/26 is 24746093.