Least Common Multiple of 40/57, 84/81, 689/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/57, 84/81, 689/786 quickly i.e. 192920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/57, 84/81, 689/786 is 192920.

LCM(40/57, 84/81, 689/786) = 192920

LCM of 40/57, 84/81, 689/786

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 40/57,84/81,689/786

Given numbers are 40/57,84/81,689/786

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 40,84,689

Least Common Multiple of Numerators i.e. LCM of 40,84,689 is 578760.

GCF of Denominators means GCF of 57,81,786 as per the given fractions.

GCF of 57,81,786 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,84,689

LCM of Fractions 40/57,84/81,689/786 is 192920

2 40, 84, 689
2 20, 42, 689
10, 21, 689

∴ So the LCM of the given numbers is 2 x 2 x 10 x 21 x 689 = 578760

Least Common Multiple of 40,84,689 with GCF Formula

Least Common Multiple of 40,84,689 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 40,84,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,84,689) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(40,84,689) x common factors =1 x 4 = 4

LCM(40,84,689) = ( 40 × 84 × 689 ) / 4

LCM(40,84,689) = 2315040 / 4

LCM(40,84,689) = 578760


Lets's calculate GCF of 57,81,786

3 57, 81, 786
19, 27, 262

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 578760/3

Therefore the LCM of Fractions 40/57,84/81,689/786 is 192920

Greatest Common Factor of 57,81,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,81,786 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 57,81,786 . The biggest common factor number is the GCF number.
So the greatest common factor 57,81,786 is 3.


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 40/57, 84/81, 689/786

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 40/57, 84/81, 689/786?

Answer: LCM of Numerators as per given numbers 40/57, 84/81, 689/786 is

LCM of Numerators i.e. for 40,84,689 is 578760

GCF of denominators i.e. for 57,81,786 is 3.

Thus, LCM of Fractions is 192920.Finally, LCM of Fractions for 40/57, 84/81, 689/786 is 192920.