Least Common Multiple of 23/753, 245/327, 657/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/753, 245/327, 657/918 quickly i.e. 1234065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/753, 245/327, 657/918 is 1234065.

LCM(23/753, 245/327, 657/918) = 1234065

LCM of 23/753, 245/327, 657/918

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 23/753,245/327,657/918

Given numbers are 23/753,245/327,657/918

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 23,245,657

Least Common Multiple of Numerators i.e. LCM of 23,245,657 is 3702195.

GCF of Denominators means GCF of 753,327,918 as per the given fractions.

GCF of 753,327,918 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,245,657

LCM of Fractions 23/753,245/327,657/918 is 1234065

Given numbers has no common factors except 1. So, there LCM is their product i.e 3702195

Least Common Multiple of 23,245,657 with GCF Formula

Least Common Multiple of 23,245,657 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 23,245,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,245,657) = 1

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

GCF(23,245,657) x common factors =1 x 1 = 1

LCM(23,245,657) = ( 23 × 245 × 657 ) / 1

LCM(23,245,657) = 3702195 / 1

LCM(23,245,657) = 3702195


Lets's calculate GCF of 753,327,918

3 753, 327, 918
251, 109, 306

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3702195/3

Therefore the LCM of Fractions 23/753,245/327,657/918 is 1234065

Greatest Common Factor of 753,327,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,327,918 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 753,327,918 . The biggest common factor number is the GCF number.
So the greatest common factor 753,327,918 is 3.


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 23/753, 245/327, 657/918

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 23/753, 245/327, 657/918?

Answer: LCM of Numerators as per given numbers 23/753, 245/327, 657/918 is

LCM of Numerators i.e. for 23,245,657 is 3702195

GCF of denominators i.e. for 753,327,918 is 3.

Thus, LCM of Fractions is 1234065.Finally, LCM of Fractions for 23/753, 245/327, 657/918 is 1234065.