Least Common Multiple of 5176/330, 6325/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5176/330, 6325/175 quickly i.e. 6547640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5176/330, 6325/175 is 6547640.

LCM(5176/330, 6325/175) = 6547640

LCM of 5176/330, 6325/175

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 5176/330,6325/175

Given numbers are 5176/330,6325/175

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 5176,6325

Least Common Multiple of Numerators i.e. LCM of 5176,6325 is 32738200.

GCF of Denominators means GCF of 330,175 as per the given fractions.

GCF of 330,175 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5176,6325

LCM of Fractions 5176/330,6325/175 is 6547640

Given numbers has no common factors except 1. So, there LCM is their product i.e 32738200

Least Common Multiple of 5176,6325 with GCF Formula

Least Common Multiple of 5176,6325 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 5176,6325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5176,6325) = 1

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

GCF(5176,6325) x common factors =1 x 1 = 1

LCM(5176,6325) = ( 5176 × 6325 ) / 1

LCM(5176,6325) = 32738200 / 1

LCM(5176,6325) = 32738200


Lets's calculate GCF of 330,175

5 330, 175
66, 35

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32738200/5

Therefore the LCM of Fractions 5176/330,6325/175 is 6547640

Greatest Common Factor of 330,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,175 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 330,175 . The biggest common factor number is the GCF number.
So the greatest common factor 330,175 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 5176/330, 6325/175

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 5176/330, 6325/175?

Answer: LCM of Numerators as per given numbers 5176/330, 6325/175 is

LCM of Numerators i.e. for 5176,6325 is 32738200

GCF of denominators i.e. for 330,175 is 5.

Thus, LCM of Fractions is 6547640.Finally, LCM of Fractions for 5176/330, 6325/175 is 6547640.