Least Common Multiple of 24/728, 5036/6370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/728, 5036/6370 quickly i.e. 30216/182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/728, 5036/6370 is 30216/182.

LCM(24/728, 5036/6370) = 30216/182

LCM of 24/728, 5036/6370

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 24/728,5036/6370

Given numbers are 24/728,5036/6370

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 24,5036

Least Common Multiple of Numerators i.e. LCM of 24,5036 is 30216.

GCF of Denominators means GCF of 728,6370 as per the given fractions.

GCF of 728,6370 is 182 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,5036

LCM of Fractions 24/728,5036/6370 is 30216/182

2 24, 5036
2 12, 2518
6, 1259

∴ So the LCM of the given numbers is 2 x 2 x 6 x 1259 = 30216

Least Common Multiple of 24,5036 with GCF Formula

Least Common Multiple of 24,5036 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 24,5036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,5036) = 4

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

GCF(24,5036) x common factors =4 x 1 = 4

LCM(24,5036) = ( 24 × 5036 ) / 4

LCM(24,5036) = 120864 / 4

LCM(24,5036) = 30216


Lets's calculate GCF of 728,6370

2 728, 6370
7 364, 3185
13 52, 455
4, 35

∴ So the GCF of the given numbers is 2 x 7 x 13 = 182

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30216/182

Therefore the LCM of Fractions 24/728,5036/6370 is 30216/182

Greatest Common Factor of 728,6370 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,6370 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 6370

List of positive integer factors of 6370 that divides 6370 without a remainder.

1,2,5,7,10,13,14,26,35,49,65,70,91,98,130,182,245,455,490,637,910,1274,3185,6370

Greatest Common Factor

We found the factors 728,6370 . The biggest common factor number is the GCF number.
So the greatest common factor 728,6370 is 182.


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 24/728, 5036/6370

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 24/728, 5036/6370?

Answer: LCM of Numerators as per given numbers 24/728, 5036/6370 is

LCM of Numerators i.e. for 24,5036 is 30216

GCF of denominators i.e. for 728,6370 is 182.

Thus, LCM of Fractions is 30216/182.Finally, LCM of Fractions for 24/728, 5036/6370 is 30216/182.