Least Common Multiple of 32/309, 854/660, 685/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/309, 854/660, 685/177 quickly i.e. 9359840/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/309, 854/660, 685/177 is 9359840/3.

LCM(32/309, 854/660, 685/177) = 9359840/3

LCM of 32/309, 854/660, 685/177

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 32/309,854/660,685/177

Given numbers are 32/309,854/660,685/177

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 32,854,685

Least Common Multiple of Numerators i.e. LCM of 32,854,685 is 9359840.

GCF of Denominators means GCF of 309,660,177 as per the given fractions.

GCF of 309,660,177 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,854,685

LCM of Fractions 32/309,854/660,685/177 is 9359840/3

2 32, 854, 685
16, 427, 685

∴ So the LCM of the given numbers is 2 x 16 x 427 x 685 = 9359840

Least Common Multiple of 32,854,685 with GCF Formula

Least Common Multiple of 32,854,685 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 32,854,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,854,685) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,854,685) x common factors =1 x 2 = 2

LCM(32,854,685) = ( 32 × 854 × 685 ) / 2

LCM(32,854,685) = 18719680 / 2

LCM(32,854,685) = 9359840


Lets's calculate GCF of 309,660,177

3 309, 660, 177
103, 220, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9359840/3

Therefore the LCM of Fractions 32/309,854/660,685/177 is 9359840/3

Greatest Common Factor of 309,660,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,660,177 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

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 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 309,660,177 . The biggest common factor number is the GCF number.
So the greatest common factor 309,660,177 is 3.


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 32/309, 854/660, 685/177

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 32/309, 854/660, 685/177?

Answer: LCM of Numerators as per given numbers 32/309, 854/660, 685/177 is

LCM of Numerators i.e. for 32,854,685 is 9359840

GCF of denominators i.e. for 309,660,177 is 3.

Thus, LCM of Fractions is 9359840/3.Finally, LCM of Fractions for 32/309, 854/660, 685/177 is 9359840/3.