Least Common Multiple of 642/17, 8179/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 642/17, 8179/447 quickly i.e. 5250918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 642/17, 8179/447 is 5250918.

LCM(642/17, 8179/447) = 5250918

LCM of 642/17, 8179/447

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 642/17,8179/447

Given numbers are 642/17,8179/447

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 642,8179

Least Common Multiple of Numerators i.e. LCM of 642,8179 is 5250918.

GCF of Denominators means GCF of 17,447 as per the given fractions.

GCF of 17,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 642,8179

LCM of Fractions 642/17,8179/447 is 5250918

Given numbers has no common factors except 1. So, there LCM is their product i.e 5250918

Least Common Multiple of 642,8179 with GCF Formula

Least Common Multiple of 642,8179 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 642,8179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,8179) = 1

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

GCF(642,8179) x common factors =1 x 1 = 1

LCM(642,8179) = ( 642 × 8179 ) / 1

LCM(642,8179) = 5250918 / 1

LCM(642,8179) = 5250918


Lets's calculate GCF of 17,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5250918/1

Therefore the LCM of Fractions 642/17,8179/447 is 5250918

Greatest Common Factor of 17,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,447 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 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 17,447 . The biggest common factor number is the GCF number.
So the greatest common factor 17,447 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 642/17, 8179/447

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 642/17, 8179/447?

Answer: LCM of Numerators as per given numbers 642/17, 8179/447 is

LCM of Numerators i.e. for 642,8179 is 5250918

GCF of denominators i.e. for 17,447 is 1.

Thus, LCM of Fractions is 5250918.Finally, LCM of Fractions for 642/17, 8179/447 is 5250918.