Least Common Multiple of 55/575, 2127/4991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/575, 2127/4991 quickly i.e. 116985/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/575, 2127/4991 is 116985/23.

LCM(55/575, 2127/4991) = 116985/23

LCM of 55/575, 2127/4991

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 55/575,2127/4991

Given numbers are 55/575,2127/4991

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 55,2127

Least Common Multiple of Numerators i.e. LCM of 55,2127 is 116985.

GCF of Denominators means GCF of 575,4991 as per the given fractions.

GCF of 575,4991 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,2127

LCM of Fractions 55/575,2127/4991 is 116985/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 116985

Least Common Multiple of 55,2127 with GCF Formula

Least Common Multiple of 55,2127 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 55,2127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,2127) = 1

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

GCF(55,2127) x common factors =1 x 1 = 1

LCM(55,2127) = ( 55 × 2127 ) / 1

LCM(55,2127) = 116985 / 1

LCM(55,2127) = 116985


Lets's calculate GCF of 575,4991

23 575, 4991
25, 217

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116985/23

Therefore the LCM of Fractions 55/575,2127/4991 is 116985/23

Greatest Common Factor of 575,4991 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,4991 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 4991

List of positive integer factors of 4991 that divides 4991 without a remainder.

1,7,23,31,161,217,713,4991

Greatest Common Factor

We found the factors 575,4991 . The biggest common factor number is the GCF number.
So the greatest common factor 575,4991 is 23.


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 55/575, 2127/4991

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 55/575, 2127/4991?

Answer: LCM of Numerators as per given numbers 55/575, 2127/4991 is

LCM of Numerators i.e. for 55,2127 is 116985

GCF of denominators i.e. for 575,4991 is 23.

Thus, LCM of Fractions is 116985/23.Finally, LCM of Fractions for 55/575, 2127/4991 is 116985/23.