Least Common Multiple of 8446/64, 4125/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8446/64, 4125/882 quickly i.e. 17419875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8446/64, 4125/882 is 17419875.

LCM(8446/64, 4125/882) = 17419875

LCM of 8446/64, 4125/882

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 8446/64,4125/882

Given numbers are 8446/64,4125/882

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 8446,4125

Least Common Multiple of Numerators i.e. LCM of 8446,4125 is 34839750.

GCF of Denominators means GCF of 64,882 as per the given fractions.

GCF of 64,882 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8446,4125

LCM of Fractions 8446/64,4125/882 is 17419875

Given numbers has no common factors except 1. So, there LCM is their product i.e 34839750

Least Common Multiple of 8446,4125 with GCF Formula

Least Common Multiple of 8446,4125 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 8446,4125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8446,4125) = 1

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

GCF(8446,4125) x common factors =1 x 1 = 1

LCM(8446,4125) = ( 8446 × 4125 ) / 1

LCM(8446,4125) = 34839750 / 1

LCM(8446,4125) = 34839750


Lets's calculate GCF of 64,882

2 64, 882
32, 441

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34839750/2

Therefore the LCM of Fractions 8446/64,4125/882 is 17419875

Greatest Common Factor of 64,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,882 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 64,882 . The biggest common factor number is the GCF number.
So the greatest common factor 64,882 is 2.


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Frequently Asked Questions on Fractional LCM of 8446/64, 4125/882

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 8446/64, 4125/882?

Answer: LCM of Numerators as per given numbers 8446/64, 4125/882 is

LCM of Numerators i.e. for 8446,4125 is 34839750

GCF of denominators i.e. for 64,882 is 2.

Thus, LCM of Fractions is 17419875.Finally, LCM of Fractions for 8446/64, 4125/882 is 17419875.