Least Common Multiple of 65/264, 16/320, 747/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/264, 16/320, 747/252 quickly i.e. 194220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/264, 16/320, 747/252 is 194220.

LCM(65/264, 16/320, 747/252) = 194220

LCM of 65/264, 16/320, 747/252

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 65/264,16/320,747/252

Given numbers are 65/264,16/320,747/252

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 65,16,747

Least Common Multiple of Numerators i.e. LCM of 65,16,747 is 776880.

GCF of Denominators means GCF of 264,320,252 as per the given fractions.

GCF of 264,320,252 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,16,747

LCM of Fractions 65/264,16/320,747/252 is 194220

Given numbers has no common factors except 1. So, there LCM is their product i.e 776880

Least Common Multiple of 65,16,747 with GCF Formula

Least Common Multiple of 65,16,747 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 65,16,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,16,747) = 1

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

GCF(65,16,747) x common factors =1 x 1 = 1

LCM(65,16,747) = ( 65 × 16 × 747 ) / 1

LCM(65,16,747) = 776880 / 1

LCM(65,16,747) = 776880


Lets's calculate GCF of 264,320,252

2 264, 320, 252
2 132, 160, 126
66, 80, 63

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 776880/4

Therefore the LCM of Fractions 65/264,16/320,747/252 is 194220

Greatest Common Factor of 264,320,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,320,252 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 264,320,252 . The biggest common factor number is the GCF number.
So the greatest common factor 264,320,252 is 4.


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 65/264, 16/320, 747/252

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 65/264, 16/320, 747/252?

Answer: LCM of Numerators as per given numbers 65/264, 16/320, 747/252 is

LCM of Numerators i.e. for 65,16,747 is 776880

GCF of denominators i.e. for 264,320,252 is 4.

Thus, LCM of Fractions is 194220.Finally, LCM of Fractions for 65/264, 16/320, 747/252 is 194220.