Least Common Multiple of 71/78, 84/68, 65/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/78, 84/68, 65/489 quickly i.e. 387660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/78, 84/68, 65/489 is 387660.

LCM(71/78, 84/68, 65/489) = 387660

LCM of 71/78, 84/68, 65/489

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 71/78,84/68,65/489

Given numbers are 71/78,84/68,65/489

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 71,84,65

Least Common Multiple of Numerators i.e. LCM of 71,84,65 is 387660.

GCF of Denominators means GCF of 78,68,489 as per the given fractions.

GCF of 78,68,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,84,65

LCM of Fractions 71/78,84/68,65/489 is 387660

Given numbers has no common factors except 1. So, there LCM is their product i.e 387660

Least Common Multiple of 71,84,65 with GCF Formula

Least Common Multiple of 71,84,65 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 71,84,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,84,65) = 1

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

GCF(71,84,65) x common factors =1 x 1 = 1

LCM(71,84,65) = ( 71 × 84 × 65 ) / 1

LCM(71,84,65) = 387660 / 1

LCM(71,84,65) = 387660


Lets's calculate GCF of 78,68,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387660/1

Therefore the LCM of Fractions 71/78,84/68,65/489 is 387660

Greatest Common Factor of 78,68,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,68,489 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 78,68,489 . The biggest common factor number is the GCF number.
So the greatest common factor 78,68,489 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 71/78, 84/68, 65/489

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 71/78, 84/68, 65/489?

Answer: LCM of Numerators as per given numbers 71/78, 84/68, 65/489 is

LCM of Numerators i.e. for 71,84,65 is 387660

GCF of denominators i.e. for 78,68,489 is 1.

Thus, LCM of Fractions is 387660.Finally, LCM of Fractions for 71/78, 84/68, 65/489 is 387660.