Least Common Multiple of 55/465, 4641/1643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/465, 4641/1643 quickly i.e. 255255/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/465, 4641/1643 is 255255/31.

LCM(55/465, 4641/1643) = 255255/31

LCM of 55/465, 4641/1643

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 55/465,4641/1643

Given numbers are 55/465,4641/1643

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 55,4641

Least Common Multiple of Numerators i.e. LCM of 55,4641 is 255255.

GCF of Denominators means GCF of 465,1643 as per the given fractions.

GCF of 465,1643 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,4641

LCM of Fractions 55/465,4641/1643 is 255255/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 255255

Least Common Multiple of 55,4641 with GCF Formula

Least Common Multiple of 55,4641 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 55,4641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,4641) = 1

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

GCF(55,4641) x common factors =1 x 1 = 1

LCM(55,4641) = ( 55 × 4641 ) / 1

LCM(55,4641) = 255255 / 1

LCM(55,4641) = 255255


Lets's calculate GCF of 465,1643

31 465, 1643
15, 53

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255255/31

Therefore the LCM of Fractions 55/465,4641/1643 is 255255/31

Greatest Common Factor of 465,1643 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,1643 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 1643

List of positive integer factors of 1643 that divides 1643 without a remainder.

1,31,53,1643

Greatest Common Factor

We found the factors 465,1643 . The biggest common factor number is the GCF number.
So the greatest common factor 465,1643 is 31.


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 55/465, 4641/1643

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 55/465, 4641/1643?

Answer: LCM of Numerators as per given numbers 55/465, 4641/1643 is

LCM of Numerators i.e. for 55,4641 is 255255

GCF of denominators i.e. for 465,1643 is 31.

Thus, LCM of Fractions is 255255/31.Finally, LCM of Fractions for 55/465, 4641/1643 is 255255/31.