Least Common Multiple of 32/966, 94/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 32/966, 94/161 quickly i.e. 1504/161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/966, 94/161 is 1504/161.

LCM(32/966, 94/161) = 1504/161

LCM of 32/966, 94/161

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 32/966,94/161

Given numbers are 32/966,94/161

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 32,94

Least Common Multiple of Numerators i.e. LCM of 32,94 is 1504.

GCF of Denominators means GCF of 966,161 as per the given fractions.

GCF of 966,161 is 161 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,94

LCM of Fractions 32/966,94/161 is 1504/161

2 32, 94
16, 47

∴ So the LCM of the given numbers is 2 x 16 x 47 = 1504

Least Common Multiple of 32,94 with GCF Formula

Least Common Multiple of 32,94 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 32,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,94) = 2

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

GCF(32,94) x common factors =2 x 1 = 2

LCM(32,94) = ( 32 × 94 ) / 2

LCM(32,94) = 3008 / 2

LCM(32,94) = 1504


Lets's calculate GCF of 966,161

7 966, 161
23 138, 23
6, 1

∴ So the GCF of the given numbers is 7 x 23 = 161

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1504/161

Therefore the LCM of Fractions 32/966,94/161 is 1504/161

Greatest Common Factor of 966,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,161 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 966,161 . The biggest common factor number is the GCF number.
So the greatest common factor 966,161 is 161.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 32/966, 94/161

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 32/966, 94/161?

Answer: LCM of Numerators as per given numbers 32/966, 94/161 is

LCM of Numerators i.e. for 32,94 is 1504

GCF of denominators i.e. for 966,161 is 161.

Thus, LCM of Fractions is 1504/161.Finally, LCM of Fractions for 32/966, 94/161 is 1504/161.