Least Common Multiple of 7545/738, 9451/1488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7545/738, 9451/1488 quickly i.e. 71307795/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7545/738, 9451/1488 is 71307795/6.

LCM(7545/738, 9451/1488) = 71307795/6

LCM of 7545/738, 9451/1488

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 7545/738,9451/1488

Given numbers are 7545/738,9451/1488

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 7545,9451

Least Common Multiple of Numerators i.e. LCM of 7545,9451 is 71307795.

GCF of Denominators means GCF of 738,1488 as per the given fractions.

GCF of 738,1488 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7545,9451

LCM of Fractions 7545/738,9451/1488 is 71307795/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 71307795

Least Common Multiple of 7545,9451 with GCF Formula

Least Common Multiple of 7545,9451 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 7545,9451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7545,9451) = 1

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

GCF(7545,9451) x common factors =1 x 1 = 1

LCM(7545,9451) = ( 7545 × 9451 ) / 1

LCM(7545,9451) = 71307795 / 1

LCM(7545,9451) = 71307795


Lets's calculate GCF of 738,1488

2 738, 1488
3 369, 744
123, 248

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71307795/6

Therefore the LCM of Fractions 7545/738,9451/1488 is 71307795/6

Greatest Common Factor of 738,1488 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,1488 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 1488

List of positive integer factors of 1488 that divides 1488 without a remainder.

1,2,3,4,6,8,12,16,24,31,48,62,93,124,186,248,372,496,744,1488

Greatest Common Factor

We found the factors 738,1488 . The biggest common factor number is the GCF number.
So the greatest common factor 738,1488 is 6.


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 7545/738, 9451/1488

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 7545/738, 9451/1488?

Answer: LCM of Numerators as per given numbers 7545/738, 9451/1488 is

LCM of Numerators i.e. for 7545,9451 is 71307795

GCF of denominators i.e. for 738,1488 is 6.

Thus, LCM of Fractions is 71307795/6.Finally, LCM of Fractions for 7545/738, 9451/1488 is 71307795/6.