Least Common Multiple of 109/48, 586/3641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/48, 586/3641 quickly i.e. 63874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/48, 586/3641 is 63874.

LCM(109/48, 586/3641) = 63874

LCM of 109/48, 586/3641

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 109/48,586/3641

Given numbers are 109/48,586/3641

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 109,586

Least Common Multiple of Numerators i.e. LCM of 109,586 is 63874.

GCF of Denominators means GCF of 48,3641 as per the given fractions.

GCF of 48,3641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,586

LCM of Fractions 109/48,586/3641 is 63874

Given numbers has no common factors except 1. So, there LCM is their product i.e 63874

Least Common Multiple of 109,586 with GCF Formula

Least Common Multiple of 109,586 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 109,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,586) = 1

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

GCF(109,586) x common factors =1 x 1 = 1

LCM(109,586) = ( 109 × 586 ) / 1

LCM(109,586) = 63874 / 1

LCM(109,586) = 63874


Lets's calculate GCF of 48,3641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63874/1

Therefore the LCM of Fractions 109/48,586/3641 is 63874

Greatest Common Factor of 48,3641 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,3641 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 3641

List of positive integer factors of 3641 that divides 3641 without a remainder.

1,11,331,3641

Greatest Common Factor

We found the factors 48,3641 . The biggest common factor number is the GCF number.
So the greatest common factor 48,3641 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 109/48, 586/3641

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 109/48, 586/3641?

Answer: LCM of Numerators as per given numbers 109/48, 586/3641 is

LCM of Numerators i.e. for 109,586 is 63874

GCF of denominators i.e. for 48,3641 is 1.

Thus, LCM of Fractions is 63874.Finally, LCM of Fractions for 109/48, 586/3641 is 63874.