Least Common Multiple of 9744/741, 3129/1572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9744/741, 3129/1572 quickly i.e. 483952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9744/741, 3129/1572 is 483952.

LCM(9744/741, 3129/1572) = 483952

LCM of 9744/741, 3129/1572

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 9744/741,3129/1572

Given numbers are 9744/741,3129/1572

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 9744,3129

Least Common Multiple of Numerators i.e. LCM of 9744,3129 is 1451856.

GCF of Denominators means GCF of 741,1572 as per the given fractions.

GCF of 741,1572 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9744,3129

LCM of Fractions 9744/741,3129/1572 is 483952

3 9744, 3129
7 3248, 1043
464, 149

∴ So the LCM of the given numbers is 3 x 7 x 464 x 149 = 1451856

Least Common Multiple of 9744,3129 with GCF Formula

Least Common Multiple of 9744,3129 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 9744,3129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9744,3129) = 21

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

GCF(9744,3129) x common factors =21 x 1 = 21

LCM(9744,3129) = ( 9744 × 3129 ) / 21

LCM(9744,3129) = 30488976 / 21

LCM(9744,3129) = 1451856


Lets's calculate GCF of 741,1572

3 741, 1572
247, 524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1451856/3

Therefore the LCM of Fractions 9744/741,3129/1572 is 483952

Greatest Common Factor of 741,1572 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,1572 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 1572

List of positive integer factors of 1572 that divides 1572 without a remainder.

1,2,3,4,6,12,131,262,393,524,786,1572

Greatest Common Factor

We found the factors 741,1572 . The biggest common factor number is the GCF number.
So the greatest common factor 741,1572 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 9744/741, 3129/1572

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 9744/741, 3129/1572?

Answer: LCM of Numerators as per given numbers 9744/741, 3129/1572 is

LCM of Numerators i.e. for 9744,3129 is 1451856

GCF of denominators i.e. for 741,1572 is 3.

Thus, LCM of Fractions is 483952.Finally, LCM of Fractions for 9744/741, 3129/1572 is 483952.