Least Common Multiple of 64/253, 85/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/253, 85/440 quickly i.e. 5440/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/253, 85/440 is 5440/11.

LCM(64/253, 85/440) = 5440/11

LCM of 64/253, 85/440

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 64/253,85/440

Given numbers are 64/253,85/440

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 64,85

Least Common Multiple of Numerators i.e. LCM of 64,85 is 5440.

GCF of Denominators means GCF of 253,440 as per the given fractions.

GCF of 253,440 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,85

LCM of Fractions 64/253,85/440 is 5440/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 5440

Least Common Multiple of 64,85 with GCF Formula

Least Common Multiple of 64,85 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 64,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,85) = 1

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

GCF(64,85) x common factors =1 x 1 = 1

LCM(64,85) = ( 64 × 85 ) / 1

LCM(64,85) = 5440 / 1

LCM(64,85) = 5440


Lets's calculate GCF of 253,440

11 253, 440
23, 40

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5440/11

Therefore the LCM of Fractions 64/253,85/440 is 5440/11

Greatest Common Factor of 253,440 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,440 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 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Greatest Common Factor

We found the factors 253,440 . The biggest common factor number is the GCF number.
So the greatest common factor 253,440 is 11.


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 64/253, 85/440

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 64/253, 85/440?

Answer: LCM of Numerators as per given numbers 64/253, 85/440 is

LCM of Numerators i.e. for 64,85 is 5440

GCF of denominators i.e. for 253,440 is 11.

Thus, LCM of Fractions is 5440/11.Finally, LCM of Fractions for 64/253, 85/440 is 5440/11.