Least Common Multiple of 41/665, 5321/7825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 41/665, 5321/7825 quickly i.e. 218161/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/665, 5321/7825 is 218161/5.

LCM(41/665, 5321/7825) = 218161/5

LCM of 41/665, 5321/7825

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 41/665,5321/7825

Given numbers are 41/665,5321/7825

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 41,5321

Least Common Multiple of Numerators i.e. LCM of 41,5321 is 218161.

GCF of Denominators means GCF of 665,7825 as per the given fractions.

GCF of 665,7825 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,5321

LCM of Fractions 41/665,5321/7825 is 218161/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 218161

Least Common Multiple of 41,5321 with GCF Formula

Least Common Multiple of 41,5321 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 41,5321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,5321) = 1

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

GCF(41,5321) x common factors =1 x 1 = 1

LCM(41,5321) = ( 41 × 5321 ) / 1

LCM(41,5321) = 218161 / 1

LCM(41,5321) = 218161


Lets's calculate GCF of 665,7825

5 665, 7825
133, 1565

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218161/5

Therefore the LCM of Fractions 41/665,5321/7825 is 218161/5

Greatest Common Factor of 665,7825 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,7825 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 7825

List of positive integer factors of 7825 that divides 7825 without a remainder.

1,5,25,313,1565,7825

Greatest Common Factor

We found the factors 665,7825 . The biggest common factor number is the GCF number.
So the greatest common factor 665,7825 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 41/665, 5321/7825

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 41/665, 5321/7825?

Answer: LCM of Numerators as per given numbers 41/665, 5321/7825 is

LCM of Numerators i.e. for 41,5321 is 218161

GCF of denominators i.e. for 665,7825 is 5.

Thus, LCM of Fractions is 218161/5.Finally, LCM of Fractions for 41/665, 5321/7825 is 218161/5.