Least Common Multiple of 51/807, 81/677, 727/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/807, 81/677, 727/288 quickly i.e. 1001079 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/807, 81/677, 727/288 is 1001079.

LCM(51/807, 81/677, 727/288) = 1001079

LCM of 51/807, 81/677, 727/288

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 51/807,81/677,727/288

Given numbers are 51/807,81/677,727/288

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 51,81,727

Least Common Multiple of Numerators i.e. LCM of 51,81,727 is 1001079.

GCF of Denominators means GCF of 807,677,288 as per the given fractions.

GCF of 807,677,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,81,727

LCM of Fractions 51/807,81/677,727/288 is 1001079

3 51, 81, 727
17, 27, 727

∴ So the LCM of the given numbers is 3 x 17 x 27 x 727 = 1001079

Least Common Multiple of 51,81,727 with GCF Formula

Least Common Multiple of 51,81,727 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 51,81,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,81,727) = 1

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

GCF(51,81,727) x common factors =1 x 3 = 3

LCM(51,81,727) = ( 51 × 81 × 727 ) / 3

LCM(51,81,727) = 3003237 / 3

LCM(51,81,727) = 1001079


Lets's calculate GCF of 807,677,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1001079/1

Therefore the LCM of Fractions 51/807,81/677,727/288 is 1001079

Greatest Common Factor of 807,677,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,677,288 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 807,677,288 . The biggest common factor number is the GCF number.
So the greatest common factor 807,677,288 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 51/807, 81/677, 727/288

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 51/807, 81/677, 727/288?

Answer: LCM of Numerators as per given numbers 51/807, 81/677, 727/288 is

LCM of Numerators i.e. for 51,81,727 is 1001079

GCF of denominators i.e. for 807,677,288 is 1.

Thus, LCM of Fractions is 1001079.Finally, LCM of Fractions for 51/807, 81/677, 727/288 is 1001079.