Least Common Multiple of 65/63, 45/25, 20/69, 63/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/63, 45/25, 20/69, 63/485 quickly i.e. 16380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/63, 45/25, 20/69, 63/485 is 16380.

LCM(65/63, 45/25, 20/69, 63/485) = 16380

LCM of 65/63, 45/25, 20/69, 63/485

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 65/63,45/25,20/69,63/485

Given numbers are 65/63,45/25,20/69,63/485

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 65,45,20,63

Least Common Multiple of Numerators i.e. LCM of 65,45,20,63 is 16380.

GCF of Denominators means GCF of 63,25,69,485 as per the given fractions.

GCF of 63,25,69,485 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,45,20,63

LCM of Fractions 65/63,45/25,20/69,63/485 is 16380

3 65, 45, 20, 63
3 65, 15, 20, 21
5 65, 5, 20, 7
13, 1, 4, 7

∴ So the LCM of the given numbers is 3 x 3 x 5 x 13 x 1 x 4 x 7 = 16380

Least Common Multiple of 65,45,20,63 with GCF Formula

Least Common Multiple of 65,45,20,63 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 65,45,20,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,45,20,63) = 1

common factors(in case of two or more numbers have common factors) = 225

GCF(65,45,20,63) x common factors =1 x 225 = 225

LCM(65,45,20,63) = ( 65 × 45 × 20 × 63 ) / 225

LCM(65,45,20,63) = 3685500 / 225

LCM(65,45,20,63) = 16380


Lets's calculate GCF of 63,25,69,485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16380/1

Therefore the LCM of Fractions 65/63,45/25,20/69,63/485 is 16380

Greatest Common Factor of 63,25,69,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,25,69,485 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 63,25,69,485 . The biggest common factor number is the GCF number.
So the greatest common factor 63,25,69,485 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/63, 45/25, 20/69, 63/485

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 65/63, 45/25, 20/69, 63/485?

Answer: LCM of Numerators as per given numbers 65/63, 45/25, 20/69, 63/485 is

LCM of Numerators i.e. for 65,45,20,63 is 16380

GCF of denominators i.e. for 63,25,69,485 is 1.

Thus, LCM of Fractions is 16380.Finally, LCM of Fractions for 65/63, 45/25, 20/69, 63/485 is 16380.