Least Common Multiple of 39/681, 177/960, 548/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/681, 177/960, 548/727 quickly i.e. 1260948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/681, 177/960, 548/727 is 1260948.

LCM(39/681, 177/960, 548/727) = 1260948

LCM of 39/681, 177/960, 548/727

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 39/681,177/960,548/727

Given numbers are 39/681,177/960,548/727

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 39,177,548

Least Common Multiple of Numerators i.e. LCM of 39,177,548 is 1260948.

GCF of Denominators means GCF of 681,960,727 as per the given fractions.

GCF of 681,960,727 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,177,548

LCM of Fractions 39/681,177/960,548/727 is 1260948

3 39, 177, 548
13, 59, 548

∴ So the LCM of the given numbers is 3 x 13 x 59 x 548 = 1260948

Least Common Multiple of 39,177,548 with GCF Formula

Least Common Multiple of 39,177,548 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 39,177,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,177,548) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,177,548) x common factors =1 x 3 = 3

LCM(39,177,548) = ( 39 × 177 × 548 ) / 3

LCM(39,177,548) = 3782844 / 3

LCM(39,177,548) = 1260948


Lets's calculate GCF of 681,960,727

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1260948/1

Therefore the LCM of Fractions 39/681,177/960,548/727 is 1260948

Greatest Common Factor of 681,960,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,960,727 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 681,960,727 . The biggest common factor number is the GCF number.
So the greatest common factor 681,960,727 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 39/681, 177/960, 548/727

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 39/681, 177/960, 548/727?

Answer: LCM of Numerators as per given numbers 39/681, 177/960, 548/727 is

LCM of Numerators i.e. for 39,177,548 is 1260948

GCF of denominators i.e. for 681,960,727 is 1.

Thus, LCM of Fractions is 1260948.Finally, LCM of Fractions for 39/681, 177/960, 548/727 is 1260948.