Least Common Multiple of 27/614, 6056/7418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/614, 6056/7418 quickly i.e. 81756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/614, 6056/7418 is 81756.

LCM(27/614, 6056/7418) = 81756

LCM of 27/614, 6056/7418

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 27/614,6056/7418

Given numbers are 27/614,6056/7418

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 27,6056

Least Common Multiple of Numerators i.e. LCM of 27,6056 is 163512.

GCF of Denominators means GCF of 614,7418 as per the given fractions.

GCF of 614,7418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,6056

LCM of Fractions 27/614,6056/7418 is 81756

Given numbers has no common factors except 1. So, there LCM is their product i.e 163512

Least Common Multiple of 27,6056 with GCF Formula

Least Common Multiple of 27,6056 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 27,6056 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,6056) = 1

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

GCF(27,6056) x common factors =1 x 1 = 1

LCM(27,6056) = ( 27 × 6056 ) / 1

LCM(27,6056) = 163512 / 1

LCM(27,6056) = 163512


Lets's calculate GCF of 614,7418

2 614, 7418
307, 3709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163512/2

Therefore the LCM of Fractions 27/614,6056/7418 is 81756

Greatest Common Factor of 614,7418 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,7418 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 7418

List of positive integer factors of 7418 that divides 7418 without a remainder.

1,2,3709,7418

Greatest Common Factor

We found the factors 614,7418 . The biggest common factor number is the GCF number.
So the greatest common factor 614,7418 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 27/614, 6056/7418

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 27/614, 6056/7418?

Answer: LCM of Numerators as per given numbers 27/614, 6056/7418 is

LCM of Numerators i.e. for 27,6056 is 163512

GCF of denominators i.e. for 614,7418 is 2.

Thus, LCM of Fractions is 81756.Finally, LCM of Fractions for 27/614, 6056/7418 is 81756.