Least Common Multiple of 2231/78, 2677/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2231/78, 2677/899 quickly i.e. 5972387 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2231/78, 2677/899 is 5972387.

LCM(2231/78, 2677/899) = 5972387

LCM of 2231/78, 2677/899

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 2231/78,2677/899

Given numbers are 2231/78,2677/899

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 2231,2677

Least Common Multiple of Numerators i.e. LCM of 2231,2677 is 5972387.

GCF of Denominators means GCF of 78,899 as per the given fractions.

GCF of 78,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2231,2677

LCM of Fractions 2231/78,2677/899 is 5972387

Given numbers has no common factors except 1. So, there LCM is their product i.e 5972387

Least Common Multiple of 2231,2677 with GCF Formula

Least Common Multiple of 2231,2677 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 2231,2677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2231,2677) = 1

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

GCF(2231,2677) x common factors =1 x 1 = 1

LCM(2231,2677) = ( 2231 × 2677 ) / 1

LCM(2231,2677) = 5972387 / 1

LCM(2231,2677) = 5972387


Lets's calculate GCF of 78,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5972387/1

Therefore the LCM of Fractions 2231/78,2677/899 is 5972387

Greatest Common Factor of 78,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,899 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 78,899 . The biggest common factor number is the GCF number.
So the greatest common factor 78,899 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 2231/78, 2677/899

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 2231/78, 2677/899?

Answer: LCM of Numerators as per given numbers 2231/78, 2677/899 is

LCM of Numerators i.e. for 2231,2677 is 5972387

GCF of denominators i.e. for 78,899 is 1.

Thus, LCM of Fractions is 5972387.Finally, LCM of Fractions for 2231/78, 2677/899 is 5972387.