Least Common Multiple of 94/171, 8832/1472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/171, 8832/1472 quickly i.e. 415104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/171, 8832/1472 is 415104.

LCM(94/171, 8832/1472) = 415104

LCM of 94/171, 8832/1472

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 94/171,8832/1472

Given numbers are 94/171,8832/1472

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 94,8832

Least Common Multiple of Numerators i.e. LCM of 94,8832 is 415104.

GCF of Denominators means GCF of 171,1472 as per the given fractions.

GCF of 171,1472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,8832

LCM of Fractions 94/171,8832/1472 is 415104

2 94, 8832
47, 4416

∴ So the LCM of the given numbers is 2 x 47 x 4416 = 415104

Least Common Multiple of 94,8832 with GCF Formula

Least Common Multiple of 94,8832 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 94,8832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,8832) = 2

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

GCF(94,8832) x common factors =2 x 1 = 2

LCM(94,8832) = ( 94 × 8832 ) / 2

LCM(94,8832) = 830208 / 2

LCM(94,8832) = 415104


Lets's calculate GCF of 171,1472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 415104/1

Therefore the LCM of Fractions 94/171,8832/1472 is 415104

Greatest Common Factor of 171,1472 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,1472 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 1472

List of positive integer factors of 1472 that divides 1472 without a remainder.

1,2,4,8,16,23,32,46,64,92,184,368,736,1472

Greatest Common Factor

We found the factors 171,1472 . The biggest common factor number is the GCF number.
So the greatest common factor 171,1472 is 1.


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Frequently Asked Questions on Fractional LCM of 94/171, 8832/1472

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 94/171, 8832/1472?

Answer: LCM of Numerators as per given numbers 94/171, 8832/1472 is

LCM of Numerators i.e. for 94,8832 is 415104

GCF of denominators i.e. for 171,1472 is 1.

Thus, LCM of Fractions is 415104.Finally, LCM of Fractions for 94/171, 8832/1472 is 415104.