Least Common Multiple of 7451/738, 9675/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7451/738, 9675/447 quickly i.e. 24029475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7451/738, 9675/447 is 24029475.

LCM(7451/738, 9675/447) = 24029475

LCM of 7451/738, 9675/447

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 7451/738,9675/447

Given numbers are 7451/738,9675/447

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 7451,9675

Least Common Multiple of Numerators i.e. LCM of 7451,9675 is 72088425.

GCF of Denominators means GCF of 738,447 as per the given fractions.

GCF of 738,447 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7451,9675

LCM of Fractions 7451/738,9675/447 is 24029475

Given numbers has no common factors except 1. So, there LCM is their product i.e 72088425

Least Common Multiple of 7451,9675 with GCF Formula

Least Common Multiple of 7451,9675 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 7451,9675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7451,9675) = 1

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

GCF(7451,9675) x common factors =1 x 1 = 1

LCM(7451,9675) = ( 7451 × 9675 ) / 1

LCM(7451,9675) = 72088425 / 1

LCM(7451,9675) = 72088425


Lets's calculate GCF of 738,447

3 738, 447
246, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72088425/3

Therefore the LCM of Fractions 7451/738,9675/447 is 24029475

Greatest Common Factor of 738,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,447 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 738,447 . The biggest common factor number is the GCF number.
So the greatest common factor 738,447 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 7451/738, 9675/447

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 7451/738, 9675/447?

Answer: LCM of Numerators as per given numbers 7451/738, 9675/447 is

LCM of Numerators i.e. for 7451,9675 is 72088425

GCF of denominators i.e. for 738,447 is 3.

Thus, LCM of Fractions is 24029475.Finally, LCM of Fractions for 7451/738, 9675/447 is 24029475.