Least Common Multiple of 53/494, 649/600, 960/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/494, 649/600, 960/787 quickly i.e. 33021120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/494, 649/600, 960/787 is 33021120.

LCM(53/494, 649/600, 960/787) = 33021120

LCM of 53/494, 649/600, 960/787

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 53/494,649/600,960/787

Given numbers are 53/494,649/600,960/787

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 53,649,960

Least Common Multiple of Numerators i.e. LCM of 53,649,960 is 33021120.

GCF of Denominators means GCF of 494,600,787 as per the given fractions.

GCF of 494,600,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,649,960

LCM of Fractions 53/494,649/600,960/787 is 33021120

Given numbers has no common factors except 1. So, there LCM is their product i.e 33021120

Least Common Multiple of 53,649,960 with GCF Formula

Least Common Multiple of 53,649,960 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 53,649,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,649,960) = 1

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

GCF(53,649,960) x common factors =1 x 1 = 1

LCM(53,649,960) = ( 53 × 649 × 960 ) / 1

LCM(53,649,960) = 33021120 / 1

LCM(53,649,960) = 33021120


Lets's calculate GCF of 494,600,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33021120/1

Therefore the LCM of Fractions 53/494,649/600,960/787 is 33021120

Greatest Common Factor of 494,600,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,600,787 By Matching Biggest Common Factor Method

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 494,600,787 . The biggest common factor number is the GCF number.
So the greatest common factor 494,600,787 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 53/494, 649/600, 960/787

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 53/494, 649/600, 960/787?

Answer: LCM of Numerators as per given numbers 53/494, 649/600, 960/787 is

LCM of Numerators i.e. for 53,649,960 is 33021120

GCF of denominators i.e. for 494,600,787 is 1.

Thus, LCM of Fractions is 33021120.Finally, LCM of Fractions for 53/494, 649/600, 960/787 is 33021120.