Least Common Multiple of 66/443, 230/660, 123/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/443, 230/660, 123/245 quickly i.e. 311190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/443, 230/660, 123/245 is 311190.

LCM(66/443, 230/660, 123/245) = 311190

LCM of 66/443, 230/660, 123/245

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 66/443,230/660,123/245

Given numbers are 66/443,230/660,123/245

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 66,230,123

Least Common Multiple of Numerators i.e. LCM of 66,230,123 is 311190.

GCF of Denominators means GCF of 443,660,245 as per the given fractions.

GCF of 443,660,245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,230,123

LCM of Fractions 66/443,230/660,123/245 is 311190

2 66, 230, 123
3 33, 115, 123
11, 115, 41

∴ So the LCM of the given numbers is 2 x 3 x 11 x 115 x 41 = 311190

Least Common Multiple of 66,230,123 with GCF Formula

Least Common Multiple of 66,230,123 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 66,230,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,230,123) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,230,123) x common factors =1 x 6 = 6

LCM(66,230,123) = ( 66 × 230 × 123 ) / 6

LCM(66,230,123) = 1867140 / 6

LCM(66,230,123) = 311190


Lets's calculate GCF of 443,660,245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 311190/1

Therefore the LCM of Fractions 66/443,230/660,123/245 is 311190

Greatest Common Factor of 443,660,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,660,245 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Greatest Common Factor

We found the factors 443,660,245 . The biggest common factor number is the GCF number.
So the greatest common factor 443,660,245 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 66/443, 230/660, 123/245

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 66/443, 230/660, 123/245?

Answer: LCM of Numerators as per given numbers 66/443, 230/660, 123/245 is

LCM of Numerators i.e. for 66,230,123 is 311190

GCF of denominators i.e. for 443,660,245 is 1.

Thus, LCM of Fractions is 311190.Finally, LCM of Fractions for 66/443, 230/660, 123/245 is 311190.