Least Common Multiple of 444/66, 738/80, 129/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 444/66, 738/80, 129/400 quickly i.e. 1174158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/66, 738/80, 129/400 is 1174158.

LCM(444/66, 738/80, 129/400) = 1174158

LCM of 444/66, 738/80, 129/400

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 444/66,738/80,129/400

Given numbers are 444/66,738/80,129/400

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 444,738,129

Least Common Multiple of Numerators i.e. LCM of 444,738,129 is 2348316.

GCF of Denominators means GCF of 66,80,400 as per the given fractions.

GCF of 66,80,400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,738,129

LCM of Fractions 444/66,738/80,129/400 is 1174158

2 444, 738, 129
3 222, 369, 129
74, 123, 43

∴ So the LCM of the given numbers is 2 x 3 x 74 x 123 x 43 = 2348316

Least Common Multiple of 444,738,129 with GCF Formula

Least Common Multiple of 444,738,129 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 444,738,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,738,129) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(444,738,129) x common factors =3 x 6 = 18

LCM(444,738,129) = ( 444 × 738 × 129 ) / 18

LCM(444,738,129) = 42269688 / 18

LCM(444,738,129) = 2348316


Lets's calculate GCF of 66,80,400

2 66, 80, 400
33, 40, 200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2348316/2

Therefore the LCM of Fractions 444/66,738/80,129/400 is 1174158

Greatest Common Factor of 66,80,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,80,400 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 66,80,400 . The biggest common factor number is the GCF number.
So the greatest common factor 66,80,400 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 444/66, 738/80, 129/400

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 444/66, 738/80, 129/400?

Answer: LCM of Numerators as per given numbers 444/66, 738/80, 129/400 is

LCM of Numerators i.e. for 444,738,129 is 2348316

GCF of denominators i.e. for 66,80,400 is 2.

Thus, LCM of Fractions is 1174158.Finally, LCM of Fractions for 444/66, 738/80, 129/400 is 1174158.