Least Common Multiple of 732/17, 8921/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 732/17, 8921/255 quickly i.e. 6530172/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/17, 8921/255 is 6530172/17.

LCM(732/17, 8921/255) = 6530172/17

LCM of 732/17, 8921/255

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 732/17,8921/255

Given numbers are 732/17,8921/255

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 732,8921

Least Common Multiple of Numerators i.e. LCM of 732,8921 is 6530172.

GCF of Denominators means GCF of 17,255 as per the given fractions.

GCF of 17,255 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,8921

LCM of Fractions 732/17,8921/255 is 6530172/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 6530172

Least Common Multiple of 732,8921 with GCF Formula

Least Common Multiple of 732,8921 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 732,8921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,8921) = 1

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

GCF(732,8921) x common factors =1 x 1 = 1

LCM(732,8921) = ( 732 × 8921 ) / 1

LCM(732,8921) = 6530172 / 1

LCM(732,8921) = 6530172


Lets's calculate GCF of 17,255

17 17, 255
1, 15

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6530172/17

Therefore the LCM of Fractions 732/17,8921/255 is 6530172/17

Greatest Common Factor of 17,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,255 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 17,255 . The biggest common factor number is the GCF number.
So the greatest common factor 17,255 is 17.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 732/17, 8921/255

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 732/17, 8921/255?

Answer: LCM of Numerators as per given numbers 732/17, 8921/255 is

LCM of Numerators i.e. for 732,8921 is 6530172

GCF of denominators i.e. for 17,255 is 17.

Thus, LCM of Fractions is 6530172/17.Finally, LCM of Fractions for 732/17, 8921/255 is 6530172/17.