Least Common Multiple of 72/679, 1727/6278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/679, 1727/6278 quickly i.e. 124344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/679, 1727/6278 is 124344.

LCM(72/679, 1727/6278) = 124344

LCM of 72/679, 1727/6278

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 72/679,1727/6278

Given numbers are 72/679,1727/6278

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 72,1727

Least Common Multiple of Numerators i.e. LCM of 72,1727 is 124344.

GCF of Denominators means GCF of 679,6278 as per the given fractions.

GCF of 679,6278 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,1727

LCM of Fractions 72/679,1727/6278 is 124344

Given numbers has no common factors except 1. So, there LCM is their product i.e 124344

Least Common Multiple of 72,1727 with GCF Formula

Least Common Multiple of 72,1727 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 72,1727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,1727) = 1

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

GCF(72,1727) x common factors =1 x 1 = 1

LCM(72,1727) = ( 72 × 1727 ) / 1

LCM(72,1727) = 124344 / 1

LCM(72,1727) = 124344


Lets's calculate GCF of 679,6278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124344/1

Therefore the LCM of Fractions 72/679,1727/6278 is 124344

Greatest Common Factor of 679,6278 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,6278 By Matching Biggest Common Factor Method

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 6278

List of positive integer factors of 6278 that divides 6278 without a remainder.

1,2,43,73,86,146,3139,6278

Greatest Common Factor

We found the factors 679,6278 . The biggest common factor number is the GCF number.
So the greatest common factor 679,6278 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 72/679, 1727/6278

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 72/679, 1727/6278?

Answer: LCM of Numerators as per given numbers 72/679, 1727/6278 is

LCM of Numerators i.e. for 72,1727 is 124344

GCF of denominators i.e. for 679,6278 is 1.

Thus, LCM of Fractions is 124344.Finally, LCM of Fractions for 72/679, 1727/6278 is 124344.