Least Common Multiple of 129/16, 446/1328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 129/16, 446/1328 quickly i.e. 57534/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 129/16, 446/1328 is 57534/16.

LCM(129/16, 446/1328) = 57534/16

LCM of 129/16, 446/1328

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 129/16,446/1328

Given numbers are 129/16,446/1328

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 129,446

Least Common Multiple of Numerators i.e. LCM of 129,446 is 57534.

GCF of Denominators means GCF of 16,1328 as per the given fractions.

GCF of 16,1328 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 129,446

LCM of Fractions 129/16,446/1328 is 57534/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 57534

Least Common Multiple of 129,446 with GCF Formula

Least Common Multiple of 129,446 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 129,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,446) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(129,446) x common factors =1 x 1 = 1

LCM(129,446) = ( 129 × 446 ) / 1

LCM(129,446) = 57534 / 1

LCM(129,446) = 57534


Lets's calculate GCF of 16,1328

2 16, 1328
2 8, 664
2 4, 332
2 2, 166
1, 83

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57534/16

Therefore the LCM of Fractions 129/16,446/1328 is 57534/16

Greatest Common Factor of 16,1328 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,1328 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 1328

List of positive integer factors of 1328 that divides 1328 without a remainder.

1,2,4,8,16,83,166,332,664,1328

Greatest Common Factor

We found the factors 16,1328 . The biggest common factor number is the GCF number.
So the greatest common factor 16,1328 is 16.


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Frequently Asked Questions on Fractional LCM of 129/16, 446/1328

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 129/16, 446/1328?

Answer: LCM of Numerators as per given numbers 129/16, 446/1328 is

LCM of Numerators i.e. for 129,446 is 57534

GCF of denominators i.e. for 16,1328 is 16.

Thus, LCM of Fractions is 57534/16.Finally, LCM of Fractions for 129/16, 446/1328 is 57534/16.