Least Common Multiple of 129/670, 4176/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 129/670, 4176/400 quickly i.e. 179568/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 129/670, 4176/400 is 179568/10.

LCM(129/670, 4176/400) = 179568/10

LCM of 129/670, 4176/400

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 129/670,4176/400

Given numbers are 129/670,4176/400

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 129,4176

Least Common Multiple of Numerators i.e. LCM of 129,4176 is 179568.

GCF of Denominators means GCF of 670,400 as per the given fractions.

GCF of 670,400 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 129,4176

LCM of Fractions 129/670,4176/400 is 179568/10

3 129, 4176
43, 1392

∴ So the LCM of the given numbers is 3 x 43 x 1392 = 179568

Least Common Multiple of 129,4176 with GCF Formula

Least Common Multiple of 129,4176 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 129,4176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,4176) = 3

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

GCF(129,4176) x common factors =3 x 1 = 3

LCM(129,4176) = ( 129 × 4176 ) / 3

LCM(129,4176) = 538704 / 3

LCM(129,4176) = 179568


Lets's calculate GCF of 670,400

2 670, 400
5 335, 200
67, 40

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179568/10

Therefore the LCM of Fractions 129/670,4176/400 is 179568/10

Greatest Common Factor of 670,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 670,400 By Matching Biggest Common Factor Method

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

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 670,400 . The biggest common factor number is the GCF number.
So the greatest common factor 670,400 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 129/670, 4176/400

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 129/670, 4176/400?

Answer: LCM of Numerators as per given numbers 129/670, 4176/400 is

LCM of Numerators i.e. for 129,4176 is 179568

GCF of denominators i.e. for 670,400 is 10.

Thus, LCM of Fractions is 179568/10.Finally, LCM of Fractions for 129/670, 4176/400 is 179568/10.