Least Common Multiple of 444/17, 558/95, 320/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 444/17, 558/95, 320/373 quickly i.e. 3303360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/17, 558/95, 320/373 is 3303360.

LCM(444/17, 558/95, 320/373) = 3303360

LCM of 444/17, 558/95, 320/373

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 444/17,558/95,320/373

Given numbers are 444/17,558/95,320/373

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 444,558,320

Least Common Multiple of Numerators i.e. LCM of 444,558,320 is 3303360.

GCF of Denominators means GCF of 17,95,373 as per the given fractions.

GCF of 17,95,373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,558,320

LCM of Fractions 444/17,558/95,320/373 is 3303360

2 444, 558, 320
2 222, 279, 160
3 111, 279, 80
37, 93, 80

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 93 x 80 = 3303360

Least Common Multiple of 444,558,320 with GCF Formula

Least Common Multiple of 444,558,320 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 444,558,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,558,320) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(444,558,320) x common factors =2 x 12 = 24

LCM(444,558,320) = ( 444 × 558 × 320 ) / 24

LCM(444,558,320) = 79280640 / 24

LCM(444,558,320) = 3303360


Lets's calculate GCF of 17,95,373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3303360/1

Therefore the LCM of Fractions 444/17,558/95,320/373 is 3303360

Greatest Common Factor of 17,95,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,95,373 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 17,95,373 . The biggest common factor number is the GCF number.
So the greatest common factor 17,95,373 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 444/17, 558/95, 320/373

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 444/17, 558/95, 320/373?

Answer: LCM of Numerators as per given numbers 444/17, 558/95, 320/373 is

LCM of Numerators i.e. for 444,558,320 is 3303360

GCF of denominators i.e. for 17,95,373 is 1.

Thus, LCM of Fractions is 3303360.Finally, LCM of Fractions for 444/17, 558/95, 320/373 is 3303360.