Least Common Multiple of 407/54, 520/93, 424/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 407/54, 520/93, 424/723 quickly i.e. 11216920/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 407/54, 520/93, 424/723 is 11216920/3.

LCM(407/54, 520/93, 424/723) = 11216920/3

LCM of 407/54, 520/93, 424/723

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 407/54,520/93,424/723

Given numbers are 407/54,520/93,424/723

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 407,520,424

Least Common Multiple of Numerators i.e. LCM of 407,520,424 is 11216920.

GCF of Denominators means GCF of 54,93,723 as per the given fractions.

GCF of 54,93,723 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 407,520,424

LCM of Fractions 407/54,520/93,424/723 is 11216920/3

2 407, 520, 424
2 407, 260, 212
2 407, 130, 106
407, 65, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 407 x 65 x 53 = 11216920

Least Common Multiple of 407,520,424 with GCF Formula

Least Common Multiple of 407,520,424 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 407,520,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,520,424) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(407,520,424) x common factors =1 x 8 = 8

LCM(407,520,424) = ( 407 × 520 × 424 ) / 8

LCM(407,520,424) = 89735360 / 8

LCM(407,520,424) = 11216920


Lets's calculate GCF of 54,93,723

3 54, 93, 723
18, 31, 241

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11216920/3

Therefore the LCM of Fractions 407/54,520/93,424/723 is 11216920/3

Greatest Common Factor of 54,93,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,93,723 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 54,93,723 . The biggest common factor number is the GCF number.
So the greatest common factor 54,93,723 is 3.


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 407/54, 520/93, 424/723

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 407/54, 520/93, 424/723?

Answer: LCM of Numerators as per given numbers 407/54, 520/93, 424/723 is

LCM of Numerators i.e. for 407,520,424 is 11216920

GCF of denominators i.e. for 54,93,723 is 3.

Thus, LCM of Fractions is 11216920/3.Finally, LCM of Fractions for 407/54, 520/93, 424/723 is 11216920/3.