Least Common Multiple of 728/12, 428/3850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/12, 428/3850 quickly i.e. 38948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/12, 428/3850 is 38948.

LCM(728/12, 428/3850) = 38948

LCM of 728/12, 428/3850

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 728/12,428/3850

Given numbers are 728/12,428/3850

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 728,428

Least Common Multiple of Numerators i.e. LCM of 728,428 is 77896.

GCF of Denominators means GCF of 12,3850 as per the given fractions.

GCF of 12,3850 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,428

LCM of Fractions 728/12,428/3850 is 38948

2 728, 428
2 364, 214
182, 107

∴ So the LCM of the given numbers is 2 x 2 x 182 x 107 = 77896

Least Common Multiple of 728,428 with GCF Formula

Least Common Multiple of 728,428 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 728,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,428) = 4

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

GCF(728,428) x common factors =4 x 1 = 4

LCM(728,428) = ( 728 × 428 ) / 4

LCM(728,428) = 311584 / 4

LCM(728,428) = 77896


Lets's calculate GCF of 12,3850

2 12, 3850
6, 1925

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77896/2

Therefore the LCM of Fractions 728/12,428/3850 is 38948

Greatest Common Factor of 12,3850 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,3850 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 3850

List of positive integer factors of 3850 that divides 3850 without a remainder.

1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850

Greatest Common Factor

We found the factors 12,3850 . The biggest common factor number is the GCF number.
So the greatest common factor 12,3850 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 728/12, 428/3850

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 728/12, 428/3850?

Answer: LCM of Numerators as per given numbers 728/12, 428/3850 is

LCM of Numerators i.e. for 728,428 is 77896

GCF of denominators i.e. for 12,3850 is 2.

Thus, LCM of Fractions is 38948.Finally, LCM of Fractions for 728/12, 428/3850 is 38948.