Least Common Multiple of 969/69, 646/23, 856/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 969/69, 646/23, 856/195 quickly i.e. 829464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 969/69, 646/23, 856/195 is 829464.

LCM(969/69, 646/23, 856/195) = 829464

LCM of 969/69, 646/23, 856/195

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 969/69,646/23,856/195

Given numbers are 969/69,646/23,856/195

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 969,646,856

Least Common Multiple of Numerators i.e. LCM of 969,646,856 is 829464.

GCF of Denominators means GCF of 69,23,195 as per the given fractions.

GCF of 69,23,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 969,646,856

LCM of Fractions 969/69,646/23,856/195 is 829464

2 969, 646, 856
17 969, 323, 428
19 57, 19, 428
3, 1, 428

∴ So the LCM of the given numbers is 2 x 17 x 19 x 3 x 1 x 428 = 829464

Least Common Multiple of 969,646,856 with GCF Formula

Least Common Multiple of 969,646,856 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 969,646,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,646,856) = 1

common factors(in case of two or more numbers have common factors) = 646

GCF(969,646,856) x common factors =1 x 646 = 646

LCM(969,646,856) = ( 969 × 646 × 856 ) / 646

LCM(969,646,856) = 535833744 / 646

LCM(969,646,856) = 829464


Lets's calculate GCF of 69,23,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 829464/1

Therefore the LCM of Fractions 969/69,646/23,856/195 is 829464

Greatest Common Factor of 69,23,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,23,195 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 69,23,195 . The biggest common factor number is the GCF number.
So the greatest common factor 69,23,195 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 969/69, 646/23, 856/195

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 969/69, 646/23, 856/195?

Answer: LCM of Numerators as per given numbers 969/69, 646/23, 856/195 is

LCM of Numerators i.e. for 969,646,856 is 829464

GCF of denominators i.e. for 69,23,195 is 1.

Thus, LCM of Fractions is 829464.Finally, LCM of Fractions for 969/69, 646/23, 856/195 is 829464.