Least Common Multiple of 277/14, 591/1586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 277/14, 591/1586 quickly i.e. 163707/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 277/14, 591/1586 is 163707/2.

LCM(277/14, 591/1586) = 163707/2

LCM of 277/14, 591/1586

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 277/14,591/1586

Given numbers are 277/14,591/1586

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 277,591

Least Common Multiple of Numerators i.e. LCM of 277,591 is 163707.

GCF of Denominators means GCF of 14,1586 as per the given fractions.

GCF of 14,1586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 277,591

LCM of Fractions 277/14,591/1586 is 163707/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 163707

Least Common Multiple of 277,591 with GCF Formula

Least Common Multiple of 277,591 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 277,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,591) = 1

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

GCF(277,591) x common factors =1 x 1 = 1

LCM(277,591) = ( 277 × 591 ) / 1

LCM(277,591) = 163707 / 1

LCM(277,591) = 163707


Lets's calculate GCF of 14,1586

2 14, 1586
7, 793

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163707/2

Therefore the LCM of Fractions 277/14,591/1586 is 163707/2

Greatest Common Factor of 14,1586 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,1586 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 1586

List of positive integer factors of 1586 that divides 1586 without a remainder.

1,2,13,26,61,122,793,1586

Greatest Common Factor

We found the factors 14,1586 . The biggest common factor number is the GCF number.
So the greatest common factor 14,1586 is 2.


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 277/14, 591/1586

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 277/14, 591/1586?

Answer: LCM of Numerators as per given numbers 277/14, 591/1586 is

LCM of Numerators i.e. for 277,591 is 163707

GCF of denominators i.e. for 14,1586 is 2.

Thus, LCM of Fractions is 163707/2.Finally, LCM of Fractions for 277/14, 591/1586 is 163707/2.