Least Common Multiple of 666/69, 975/5940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 666/69, 975/5940 quickly i.e. 72150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 666/69, 975/5940 is 72150.

LCM(666/69, 975/5940) = 72150

LCM of 666/69, 975/5940

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 666/69,975/5940

Given numbers are 666/69,975/5940

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 666,975

Least Common Multiple of Numerators i.e. LCM of 666,975 is 216450.

GCF of Denominators means GCF of 69,5940 as per the given fractions.

GCF of 69,5940 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 666,975

LCM of Fractions 666/69,975/5940 is 72150

3 666, 975
222, 325

∴ So the LCM of the given numbers is 3 x 222 x 325 = 216450

Least Common Multiple of 666,975 with GCF Formula

Least Common Multiple of 666,975 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 666,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,975) = 3

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

GCF(666,975) x common factors =3 x 1 = 3

LCM(666,975) = ( 666 × 975 ) / 3

LCM(666,975) = 649350 / 3

LCM(666,975) = 216450


Lets's calculate GCF of 69,5940

3 69, 5940
23, 1980

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216450/3

Therefore the LCM of Fractions 666/69,975/5940 is 72150

Greatest Common Factor of 69,5940 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,5940 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 5940

List of positive integer factors of 5940 that divides 5940 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,27,30,33,36,44,45,54,55,60,66,90,99,108,110,132,135,165,180,198,220,270,297,330,396,495,540,594,660,990,1188,1485,1980,2970,5940

Greatest Common Factor

We found the factors 69,5940 . The biggest common factor number is the GCF number.
So the greatest common factor 69,5940 is 3.


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 666/69, 975/5940

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 666/69, 975/5940?

Answer: LCM of Numerators as per given numbers 666/69, 975/5940 is

LCM of Numerators i.e. for 666,975 is 216450

GCF of denominators i.e. for 69,5940 is 3.

Thus, LCM of Fractions is 72150.Finally, LCM of Fractions for 666/69, 975/5940 is 72150.