Least Common Multiple of 574/80, 736/20, 746/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 574/80, 736/20, 746/552 quickly i.e. 19697384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/80, 736/20, 746/552 is 19697384.

LCM(574/80, 736/20, 746/552) = 19697384

LCM of 574/80, 736/20, 746/552

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 574/80,736/20,746/552

Given numbers are 574/80,736/20,746/552

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 574,736,746

Least Common Multiple of Numerators i.e. LCM of 574,736,746 is 78789536.

GCF of Denominators means GCF of 80,20,552 as per the given fractions.

GCF of 80,20,552 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,736,746

LCM of Fractions 574/80,736/20,746/552 is 19697384

2 574, 736, 746
287, 368, 373

∴ So the LCM of the given numbers is 2 x 287 x 368 x 373 = 78789536

Least Common Multiple of 574,736,746 with GCF Formula

Least Common Multiple of 574,736,746 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 574,736,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,736,746) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(574,736,746) x common factors =2 x 2 = 4

LCM(574,736,746) = ( 574 × 736 × 746 ) / 4

LCM(574,736,746) = 315158144 / 4

LCM(574,736,746) = 78789536


Lets's calculate GCF of 80,20,552

2 80, 20, 552
2 40, 10, 276
20, 5, 138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78789536/4

Therefore the LCM of Fractions 574/80,736/20,746/552 is 19697384

Greatest Common Factor of 80,20,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,20,552 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 80,20,552 . The biggest common factor number is the GCF number.
So the greatest common factor 80,20,552 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 574/80, 736/20, 746/552

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 574/80, 736/20, 746/552?

Answer: LCM of Numerators as per given numbers 574/80, 736/20, 746/552 is

LCM of Numerators i.e. for 574,736,746 is 78789536

GCF of denominators i.e. for 80,20,552 is 4.

Thus, LCM of Fractions is 19697384.Finally, LCM of Fractions for 574/80, 736/20, 746/552 is 19697384.