Least Common Multiple of 728/51, 314/58, 378/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/51, 314/58, 378/739 quickly i.e. 3085992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/51, 314/58, 378/739 is 3085992.

LCM(728/51, 314/58, 378/739) = 3085992

LCM of 728/51, 314/58, 378/739

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 728/51,314/58,378/739

Given numbers are 728/51,314/58,378/739

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 728,314,378

Least Common Multiple of Numerators i.e. LCM of 728,314,378 is 3085992.

GCF of Denominators means GCF of 51,58,739 as per the given fractions.

GCF of 51,58,739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,314,378

LCM of Fractions 728/51,314/58,378/739 is 3085992

2 728, 314, 378
7 364, 157, 189
52, 157, 27

∴ So the LCM of the given numbers is 2 x 7 x 52 x 157 x 27 = 3085992

Least Common Multiple of 728,314,378 with GCF Formula

Least Common Multiple of 728,314,378 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 728,314,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,314,378) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(728,314,378) x common factors =2 x 14 = 28

LCM(728,314,378) = ( 728 × 314 × 378 ) / 28

LCM(728,314,378) = 86407776 / 28

LCM(728,314,378) = 3085992


Lets's calculate GCF of 51,58,739

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3085992/1

Therefore the LCM of Fractions 728/51,314/58,378/739 is 3085992

Greatest Common Factor of 51,58,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,58,739 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 51,58,739 . The biggest common factor number is the GCF number.
So the greatest common factor 51,58,739 is 1.


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 728/51, 314/58, 378/739

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 728/51, 314/58, 378/739?

Answer: LCM of Numerators as per given numbers 728/51, 314/58, 378/739 is

LCM of Numerators i.e. for 728,314,378 is 3085992

GCF of denominators i.e. for 51,58,739 is 1.

Thus, LCM of Fractions is 3085992.Finally, LCM of Fractions for 728/51, 314/58, 378/739 is 3085992.