Least Common Multiple of 65/78, 51/60, 483/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/78, 51/60, 483/381 quickly i.e. 177905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/78, 51/60, 483/381 is 177905.

LCM(65/78, 51/60, 483/381) = 177905

LCM of 65/78, 51/60, 483/381

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 65/78,51/60,483/381

Given numbers are 65/78,51/60,483/381

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 65,51,483

Least Common Multiple of Numerators i.e. LCM of 65,51,483 is 533715.

GCF of Denominators means GCF of 78,60,381 as per the given fractions.

GCF of 78,60,381 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,51,483

LCM of Fractions 65/78,51/60,483/381 is 177905

3 65, 51, 483
65, 17, 161

∴ So the LCM of the given numbers is 3 x 65 x 17 x 161 = 533715

Least Common Multiple of 65,51,483 with GCF Formula

Least Common Multiple of 65,51,483 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 65,51,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,51,483) = 1

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

GCF(65,51,483) x common factors =1 x 3 = 3

LCM(65,51,483) = ( 65 × 51 × 483 ) / 3

LCM(65,51,483) = 1601145 / 3

LCM(65,51,483) = 533715


Lets's calculate GCF of 78,60,381

3 78, 60, 381
26, 20, 127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 533715/3

Therefore the LCM of Fractions 65/78,51/60,483/381 is 177905

Greatest Common Factor of 78,60,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,60,381 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 78,60,381 . The biggest common factor number is the GCF number.
So the greatest common factor 78,60,381 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 65/78, 51/60, 483/381

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 65/78, 51/60, 483/381?

Answer: LCM of Numerators as per given numbers 65/78, 51/60, 483/381 is

LCM of Numerators i.e. for 65,51,483 is 533715

GCF of denominators i.e. for 78,60,381 is 3.

Thus, LCM of Fractions is 177905.Finally, LCM of Fractions for 65/78, 51/60, 483/381 is 177905.