Least Common Multiple of 24/740, 993/546, 465/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/740, 993/546, 465/544 quickly i.e. 615660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/740, 993/546, 465/544 is 615660.

LCM(24/740, 993/546, 465/544) = 615660

LCM of 24/740, 993/546, 465/544

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 24/740,993/546,465/544

Given numbers are 24/740,993/546,465/544

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 24,993,465

Least Common Multiple of Numerators i.e. LCM of 24,993,465 is 1231320.

GCF of Denominators means GCF of 740,546,544 as per the given fractions.

GCF of 740,546,544 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,993,465

LCM of Fractions 24/740,993/546,465/544 is 615660

3 24, 993, 465
8, 331, 155

∴ So the LCM of the given numbers is 3 x 8 x 331 x 155 = 1231320

Least Common Multiple of 24,993,465 with GCF Formula

Least Common Multiple of 24,993,465 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 24,993,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,993,465) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(24,993,465) x common factors =3 x 3 = 9

LCM(24,993,465) = ( 24 × 993 × 465 ) / 9

LCM(24,993,465) = 11081880 / 9

LCM(24,993,465) = 1231320


Lets's calculate GCF of 740,546,544

2 740, 546, 544
370, 273, 272

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1231320/2

Therefore the LCM of Fractions 24/740,993/546,465/544 is 615660

Greatest Common Factor of 740,546,544 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,546,544 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Greatest Common Factor

We found the factors 740,546,544 . The biggest common factor number is the GCF number.
So the greatest common factor 740,546,544 is 2.


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 24/740, 993/546, 465/544

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 24/740, 993/546, 465/544?

Answer: LCM of Numerators as per given numbers 24/740, 993/546, 465/544 is

LCM of Numerators i.e. for 24,993,465 is 1231320

GCF of denominators i.e. for 740,546,544 is 2.

Thus, LCM of Fractions is 615660.Finally, LCM of Fractions for 24/740, 993/546, 465/544 is 615660.