Least Common Multiple of 661/30, 721/66, 230/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 661/30, 721/66, 230/885 quickly i.e. 109613630/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 661/30, 721/66, 230/885 is 109613630/3.

LCM(661/30, 721/66, 230/885) = 109613630/3

LCM of 661/30, 721/66, 230/885

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 661/30,721/66,230/885

Given numbers are 661/30,721/66,230/885

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 661,721,230

Least Common Multiple of Numerators i.e. LCM of 661,721,230 is 109613630.

GCF of Denominators means GCF of 30,66,885 as per the given fractions.

GCF of 30,66,885 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 661,721,230

LCM of Fractions 661/30,721/66,230/885 is 109613630/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 109613630

Least Common Multiple of 661,721,230 with GCF Formula

Least Common Multiple of 661,721,230 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 661,721,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,721,230) = 1

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

GCF(661,721,230) x common factors =1 x 1 = 1

LCM(661,721,230) = ( 661 × 721 × 230 ) / 1

LCM(661,721,230) = 109613630 / 1

LCM(661,721,230) = 109613630


Lets's calculate GCF of 30,66,885

3 30, 66, 885
10, 22, 295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109613630/3

Therefore the LCM of Fractions 661/30,721/66,230/885 is 109613630/3

Greatest Common Factor of 30,66,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,66,885 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 30,66,885 . The biggest common factor number is the GCF number.
So the greatest common factor 30,66,885 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 661/30, 721/66, 230/885

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 661/30, 721/66, 230/885?

Answer: LCM of Numerators as per given numbers 661/30, 721/66, 230/885 is

LCM of Numerators i.e. for 661,721,230 is 109613630

GCF of denominators i.e. for 30,66,885 is 3.

Thus, LCM of Fractions is 109613630/3.Finally, LCM of Fractions for 661/30, 721/66, 230/885 is 109613630/3.