Least Common Multiple of 23/67, 45/33, 640/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/67, 45/33, 640/903 quickly i.e. 132480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/67, 45/33, 640/903 is 132480.

LCM(23/67, 45/33, 640/903) = 132480

LCM of 23/67, 45/33, 640/903

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 23/67,45/33,640/903

Given numbers are 23/67,45/33,640/903

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 23,45,640

Least Common Multiple of Numerators i.e. LCM of 23,45,640 is 132480.

GCF of Denominators means GCF of 67,33,903 as per the given fractions.

GCF of 67,33,903 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,45,640

LCM of Fractions 23/67,45/33,640/903 is 132480

5 23, 45, 640
23, 9, 128

∴ So the LCM of the given numbers is 5 x 23 x 9 x 128 = 132480

Least Common Multiple of 23,45,640 with GCF Formula

Least Common Multiple of 23,45,640 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 23,45,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,45,640) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(23,45,640) x common factors =1 x 5 = 5

LCM(23,45,640) = ( 23 × 45 × 640 ) / 5

LCM(23,45,640) = 662400 / 5

LCM(23,45,640) = 132480


Lets's calculate GCF of 67,33,903

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132480/1

Therefore the LCM of Fractions 23/67,45/33,640/903 is 132480

Greatest Common Factor of 67,33,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,33,903 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 67,33,903 . The biggest common factor number is the GCF number.
So the greatest common factor 67,33,903 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 23/67, 45/33, 640/903

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 23/67, 45/33, 640/903?

Answer: LCM of Numerators as per given numbers 23/67, 45/33, 640/903 is

LCM of Numerators i.e. for 23,45,640 is 132480

GCF of denominators i.e. for 67,33,903 is 1.

Thus, LCM of Fractions is 132480.Finally, LCM of Fractions for 23/67, 45/33, 640/903 is 132480.