Least Common Multiple of 66/830, 234/409, 195/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/830, 234/409, 195/820 quickly i.e. 12870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/830, 234/409, 195/820 is 12870.

LCM(66/830, 234/409, 195/820) = 12870

LCM of 66/830, 234/409, 195/820

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 66/830,234/409,195/820

Given numbers are 66/830,234/409,195/820

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 66,234,195

Least Common Multiple of Numerators i.e. LCM of 66,234,195 is 12870.

GCF of Denominators means GCF of 830,409,820 as per the given fractions.

GCF of 830,409,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,234,195

LCM of Fractions 66/830,234/409,195/820 is 12870

2 66, 234, 195
3 33, 117, 195
13 11, 39, 65
11, 3, 5

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 3 x 5 = 12870

Least Common Multiple of 66,234,195 with GCF Formula

Least Common Multiple of 66,234,195 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 66,234,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,234,195) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(66,234,195) x common factors =3 x 78 = 234

LCM(66,234,195) = ( 66 × 234 × 195 ) / 234

LCM(66,234,195) = 3011580 / 234

LCM(66,234,195) = 12870


Lets's calculate GCF of 830,409,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12870/1

Therefore the LCM of Fractions 66/830,234/409,195/820 is 12870

Greatest Common Factor of 830,409,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,409,820 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 830,409,820 . The biggest common factor number is the GCF number.
So the greatest common factor 830,409,820 is 1.


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 66/830, 234/409, 195/820

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 66/830, 234/409, 195/820?

Answer: LCM of Numerators as per given numbers 66/830, 234/409, 195/820 is

LCM of Numerators i.e. for 66,234,195 is 12870

GCF of denominators i.e. for 830,409,820 is 1.

Thus, LCM of Fractions is 12870.Finally, LCM of Fractions for 66/830, 234/409, 195/820 is 12870.