Least Common Multiple of 728/378, 1460/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/378, 1460/728 quickly i.e. 18980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/378, 1460/728 is 18980.

LCM(728/378, 1460/728) = 18980

LCM of 728/378, 1460/728

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 728/378,1460/728

Given numbers are 728/378,1460/728

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 728,1460

Least Common Multiple of Numerators i.e. LCM of 728,1460 is 265720.

GCF of Denominators means GCF of 378,728 as per the given fractions.

GCF of 378,728 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,1460

LCM of Fractions 728/378,1460/728 is 18980

2 728, 1460
2 364, 730
182, 365

∴ So the LCM of the given numbers is 2 x 2 x 182 x 365 = 265720

Least Common Multiple of 728,1460 with GCF Formula

Least Common Multiple of 728,1460 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 728,1460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,1460) = 4

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

GCF(728,1460) x common factors =4 x 1 = 4

LCM(728,1460) = ( 728 × 1460 ) / 4

LCM(728,1460) = 1062880 / 4

LCM(728,1460) = 265720


Lets's calculate GCF of 378,728

2 378, 728
7 189, 364
27, 52

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265720/14

Therefore the LCM of Fractions 728/378,1460/728 is 18980

Greatest Common Factor of 378,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,728 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

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

Greatest Common Factor

We found the factors 378,728 . The biggest common factor number is the GCF number.
So the greatest common factor 378,728 is 14.


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 728/378, 1460/728

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 728/378, 1460/728?

Answer: LCM of Numerators as per given numbers 728/378, 1460/728 is

LCM of Numerators i.e. for 728,1460 is 265720

GCF of denominators i.e. for 378,728 is 14.

Thus, LCM of Fractions is 18980.Finally, LCM of Fractions for 728/378, 1460/728 is 18980.