Least Common Multiple of 8646/41, 1647/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8646/41, 1647/696 quickly i.e. 4746654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8646/41, 1647/696 is 4746654.

LCM(8646/41, 1647/696) = 4746654

LCM of 8646/41, 1647/696

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 8646/41,1647/696

Given numbers are 8646/41,1647/696

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 8646,1647

Least Common Multiple of Numerators i.e. LCM of 8646,1647 is 4746654.

GCF of Denominators means GCF of 41,696 as per the given fractions.

GCF of 41,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8646,1647

LCM of Fractions 8646/41,1647/696 is 4746654

3 8646, 1647
2882, 549

∴ So the LCM of the given numbers is 3 x 2882 x 549 = 4746654

Least Common Multiple of 8646,1647 with GCF Formula

Least Common Multiple of 8646,1647 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 8646,1647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8646,1647) = 3

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

GCF(8646,1647) x common factors =3 x 1 = 3

LCM(8646,1647) = ( 8646 × 1647 ) / 3

LCM(8646,1647) = 14239962 / 3

LCM(8646,1647) = 4746654


Lets's calculate GCF of 41,696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4746654/1

Therefore the LCM of Fractions 8646/41,1647/696 is 4746654

Greatest Common Factor of 41,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,696 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 41,696 . The biggest common factor number is the GCF number.
So the greatest common factor 41,696 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 8646/41, 1647/696

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 8646/41, 1647/696?

Answer: LCM of Numerators as per given numbers 8646/41, 1647/696 is

LCM of Numerators i.e. for 8646,1647 is 4746654

GCF of denominators i.e. for 41,696 is 1.

Thus, LCM of Fractions is 4746654.Finally, LCM of Fractions for 8646/41, 1647/696 is 4746654.