Least Common Multiple of 45/253, 45/577, 717/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/253, 45/577, 717/465 quickly i.e. 10755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/253, 45/577, 717/465 is 10755.

LCM(45/253, 45/577, 717/465) = 10755

LCM of 45/253, 45/577, 717/465

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 45/253,45/577,717/465

Given numbers are 45/253,45/577,717/465

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 45,45,717

Least Common Multiple of Numerators i.e. LCM of 45,45,717 is 10755.

GCF of Denominators means GCF of 253,577,465 as per the given fractions.

GCF of 253,577,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,45,717

LCM of Fractions 45/253,45/577,717/465 is 10755

3 45, 45, 717
3 15, 15, 239
5 5, 5, 239
1, 1, 239

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 1 x 239 = 10755

Least Common Multiple of 45,45,717 with GCF Formula

Least Common Multiple of 45,45,717 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 45,45,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,45,717) = 3

common factors(in case of two or more numbers have common factors) = 45

GCF(45,45,717) x common factors =3 x 45 = 135

LCM(45,45,717) = ( 45 × 45 × 717 ) / 135

LCM(45,45,717) = 1451925 / 135

LCM(45,45,717) = 10755


Lets's calculate GCF of 253,577,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10755/1

Therefore the LCM of Fractions 45/253,45/577,717/465 is 10755

Greatest Common Factor of 253,577,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,577,465 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 253,577,465 . The biggest common factor number is the GCF number.
So the greatest common factor 253,577,465 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 45/253, 45/577, 717/465

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 45/253, 45/577, 717/465?

Answer: LCM of Numerators as per given numbers 45/253, 45/577, 717/465 is

LCM of Numerators i.e. for 45,45,717 is 10755

GCF of denominators i.e. for 253,577,465 is 1.

Thus, LCM of Fractions is 10755.Finally, LCM of Fractions for 45/253, 45/577, 717/465 is 10755.