Least Common Multiple of 969/29, 885/9702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/29, 885/9702 quickly i.e. 285855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/29, 885/9702 is 285855.

LCM(969/29, 885/9702) = 285855

LCM of 969/29, 885/9702

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 969/29,885/9702

Given numbers are 969/29,885/9702

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 969,885

Least Common Multiple of Numerators i.e. LCM of 969,885 is 285855.

GCF of Denominators means GCF of 29,9702 as per the given fractions.

GCF of 29,9702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,885

LCM of Fractions 969/29,885/9702 is 285855

3 969, 885
323, 295

∴ So the LCM of the given numbers is 3 x 323 x 295 = 285855

Least Common Multiple of 969,885 with GCF Formula

Least Common Multiple of 969,885 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 969,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,885) = 3

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

GCF(969,885) x common factors =3 x 1 = 3

LCM(969,885) = ( 969 × 885 ) / 3

LCM(969,885) = 857565 / 3

LCM(969,885) = 285855


Lets's calculate GCF of 29,9702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285855/1

Therefore the LCM of Fractions 969/29,885/9702 is 285855

Greatest Common Factor of 29,9702 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,9702 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 9702

List of positive integer factors of 9702 that divides 9702 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,33,42,49,63,66,77,98,99,126,147,154,198,231,294,441,462,539,693,882,1078,1386,1617,3234,4851,9702

Greatest Common Factor

We found the factors 29,9702 . The biggest common factor number is the GCF number.
So the greatest common factor 29,9702 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 969/29, 885/9702

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 969/29, 885/9702?

Answer: LCM of Numerators as per given numbers 969/29, 885/9702 is

LCM of Numerators i.e. for 969,885 is 285855

GCF of denominators i.e. for 29,9702 is 1.

Thus, LCM of Fractions is 285855.Finally, LCM of Fractions for 969/29, 885/9702 is 285855.