Least Common Multiple of 2113/690, 6527/2627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2113/690, 6527/2627 quickly i.e. 13791551 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2113/690, 6527/2627 is 13791551.

LCM(2113/690, 6527/2627) = 13791551

LCM of 2113/690, 6527/2627

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 2113/690,6527/2627

Given numbers are 2113/690,6527/2627

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 2113,6527

Least Common Multiple of Numerators i.e. LCM of 2113,6527 is 13791551.

GCF of Denominators means GCF of 690,2627 as per the given fractions.

GCF of 690,2627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2113,6527

LCM of Fractions 2113/690,6527/2627 is 13791551

Given numbers has no common factors except 1. So, there LCM is their product i.e 13791551

Least Common Multiple of 2113,6527 with GCF Formula

Least Common Multiple of 2113,6527 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 2113,6527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2113,6527) = 1

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

GCF(2113,6527) x common factors =1 x 1 = 1

LCM(2113,6527) = ( 2113 × 6527 ) / 1

LCM(2113,6527) = 13791551 / 1

LCM(2113,6527) = 13791551


Lets's calculate GCF of 690,2627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13791551/1

Therefore the LCM of Fractions 2113/690,6527/2627 is 13791551

Greatest Common Factor of 690,2627 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,2627 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 2627

List of positive integer factors of 2627 that divides 2627 without a remainder.

1,37,71,2627

Greatest Common Factor

We found the factors 690,2627 . The biggest common factor number is the GCF number.
So the greatest common factor 690,2627 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2113/690, 6527/2627

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 2113/690, 6527/2627?

Answer: LCM of Numerators as per given numbers 2113/690, 6527/2627 is

LCM of Numerators i.e. for 2113,6527 is 13791551

GCF of denominators i.e. for 690,2627 is 1.

Thus, LCM of Fractions is 13791551.Finally, LCM of Fractions for 2113/690, 6527/2627 is 13791551.