Least Common Multiple of 660/133, 1175/3175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 660/133, 1175/3175 quickly i.e. 155100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/133, 1175/3175 is 155100.

LCM(660/133, 1175/3175) = 155100

LCM of 660/133, 1175/3175

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 660/133,1175/3175

Given numbers are 660/133,1175/3175

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 660,1175

Least Common Multiple of Numerators i.e. LCM of 660,1175 is 155100.

GCF of Denominators means GCF of 133,3175 as per the given fractions.

GCF of 133,3175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,1175

LCM of Fractions 660/133,1175/3175 is 155100

5 660, 1175
132, 235

∴ So the LCM of the given numbers is 5 x 132 x 235 = 155100

Least Common Multiple of 660,1175 with GCF Formula

Least Common Multiple of 660,1175 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 660,1175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,1175) = 5

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

GCF(660,1175) x common factors =5 x 1 = 5

LCM(660,1175) = ( 660 × 1175 ) / 5

LCM(660,1175) = 775500 / 5

LCM(660,1175) = 155100


Lets's calculate GCF of 133,3175

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155100/1

Therefore the LCM of Fractions 660/133,1175/3175 is 155100

Greatest Common Factor of 133,3175 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,3175 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 3175

List of positive integer factors of 3175 that divides 3175 without a remainder.

1,5,25,127,635,3175

Greatest Common Factor

We found the factors 133,3175 . The biggest common factor number is the GCF number.
So the greatest common factor 133,3175 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 660/133, 1175/3175

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 660/133, 1175/3175?

Answer: LCM of Numerators as per given numbers 660/133, 1175/3175 is

LCM of Numerators i.e. for 660,1175 is 155100

GCF of denominators i.e. for 133,3175 is 1.

Thus, LCM of Fractions is 155100.Finally, LCM of Fractions for 660/133, 1175/3175 is 155100.