Least Common Multiple of 4175/666, 6532/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4175/666, 6532/704 quickly i.e. 13635550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4175/666, 6532/704 is 13635550.

LCM(4175/666, 6532/704) = 13635550

LCM of 4175/666, 6532/704

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 4175/666,6532/704

Given numbers are 4175/666,6532/704

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 4175,6532

Least Common Multiple of Numerators i.e. LCM of 4175,6532 is 27271100.

GCF of Denominators means GCF of 666,704 as per the given fractions.

GCF of 666,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4175,6532

LCM of Fractions 4175/666,6532/704 is 13635550

Given numbers has no common factors except 1. So, there LCM is their product i.e 27271100

Least Common Multiple of 4175,6532 with GCF Formula

Least Common Multiple of 4175,6532 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 4175,6532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4175,6532) = 1

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

GCF(4175,6532) x common factors =1 x 1 = 1

LCM(4175,6532) = ( 4175 × 6532 ) / 1

LCM(4175,6532) = 27271100 / 1

LCM(4175,6532) = 27271100


Lets's calculate GCF of 666,704

2 666, 704
333, 352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27271100/2

Therefore the LCM of Fractions 4175/666,6532/704 is 13635550

Greatest Common Factor of 666,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,704 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 666,704 . The biggest common factor number is the GCF number.
So the greatest common factor 666,704 is 2.


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 4175/666, 6532/704

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 4175/666, 6532/704?

Answer: LCM of Numerators as per given numbers 4175/666, 6532/704 is

LCM of Numerators i.e. for 4175,6532 is 27271100

GCF of denominators i.e. for 666,704 is 2.

Thus, LCM of Fractions is 13635550.Finally, LCM of Fractions for 4175/666, 6532/704 is 13635550.