Least Common Multiple of 69/41, 96/192, 861/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/41, 96/192, 861/670 quickly i.e. 633696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/41, 96/192, 861/670 is 633696.

LCM(69/41, 96/192, 861/670) = 633696

LCM of 69/41, 96/192, 861/670

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 69/41,96/192,861/670

Given numbers are 69/41,96/192,861/670

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 69,96,861

Least Common Multiple of Numerators i.e. LCM of 69,96,861 is 633696.

GCF of Denominators means GCF of 41,192,670 as per the given fractions.

GCF of 41,192,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,96,861

LCM of Fractions 69/41,96/192,861/670 is 633696

3 69, 96, 861
23, 32, 287

∴ So the LCM of the given numbers is 3 x 23 x 32 x 287 = 633696

Least Common Multiple of 69,96,861 with GCF Formula

Least Common Multiple of 69,96,861 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 69,96,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,96,861) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(69,96,861) x common factors =3 x 3 = 9

LCM(69,96,861) = ( 69 × 96 × 861 ) / 9

LCM(69,96,861) = 5703264 / 9

LCM(69,96,861) = 633696


Lets's calculate GCF of 41,192,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 633696/1

Therefore the LCM of Fractions 69/41,96/192,861/670 is 633696

Greatest Common Factor of 41,192,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,192,670 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 41,192,670 . The biggest common factor number is the GCF number.
So the greatest common factor 41,192,670 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 69/41, 96/192, 861/670

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 69/41, 96/192, 861/670?

Answer: LCM of Numerators as per given numbers 69/41, 96/192, 861/670 is

LCM of Numerators i.e. for 69,96,861 is 633696

GCF of denominators i.e. for 41,192,670 is 1.

Thus, LCM of Fractions is 633696.Finally, LCM of Fractions for 69/41, 96/192, 861/670 is 633696.