Least Common Multiple of 444/145, 555/163, 324/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 444/145, 555/163, 324/613 quickly i.e. 59940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/145, 555/163, 324/613 is 59940.

LCM(444/145, 555/163, 324/613) = 59940

LCM of 444/145, 555/163, 324/613

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 444/145,555/163,324/613

Given numbers are 444/145,555/163,324/613

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 444,555,324

Least Common Multiple of Numerators i.e. LCM of 444,555,324 is 59940.

GCF of Denominators means GCF of 145,163,613 as per the given fractions.

GCF of 145,163,613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,555,324

LCM of Fractions 444/145,555/163,324/613 is 59940

2 444, 555, 324
2 222, 555, 162
3 111, 555, 81
37 37, 185, 27
1, 5, 27

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 1 x 5 x 27 = 59940

Least Common Multiple of 444,555,324 with GCF Formula

Least Common Multiple of 444,555,324 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 444,555,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,555,324) = 3

common factors(in case of two or more numbers have common factors) = 444

GCF(444,555,324) x common factors =3 x 444 = 1332

LCM(444,555,324) = ( 444 × 555 × 324 ) / 1332

LCM(444,555,324) = 79840080 / 1332

LCM(444,555,324) = 59940


Lets's calculate GCF of 145,163,613

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59940/1

Therefore the LCM of Fractions 444/145,555/163,324/613 is 59940

Greatest Common Factor of 145,163,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,163,613 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 145,163,613 . The biggest common factor number is the GCF number.
So the greatest common factor 145,163,613 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 444/145, 555/163, 324/613

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 444/145, 555/163, 324/613?

Answer: LCM of Numerators as per given numbers 444/145, 555/163, 324/613 is

LCM of Numerators i.e. for 444,555,324 is 59940

GCF of denominators i.e. for 145,163,613 is 1.

Thus, LCM of Fractions is 59940.Finally, LCM of Fractions for 444/145, 555/163, 324/613 is 59940.