Least Common Multiple of 731/28, 338/7019

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/28, 338/7019 quickly i.e. 247078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/28, 338/7019 is 247078.

LCM(731/28, 338/7019) = 247078

LCM of 731/28, 338/7019

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 731/28,338/7019

Given numbers are 731/28,338/7019

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 731,338

Least Common Multiple of Numerators i.e. LCM of 731,338 is 247078.

GCF of Denominators means GCF of 28,7019 as per the given fractions.

GCF of 28,7019 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,338

LCM of Fractions 731/28,338/7019 is 247078

Given numbers has no common factors except 1. So, there LCM is their product i.e 247078

Least Common Multiple of 731,338 with GCF Formula

Least Common Multiple of 731,338 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 731,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,338) = 1

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

GCF(731,338) x common factors =1 x 1 = 1

LCM(731,338) = ( 731 × 338 ) / 1

LCM(731,338) = 247078 / 1

LCM(731,338) = 247078


Lets's calculate GCF of 28,7019

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247078/1

Therefore the LCM of Fractions 731/28,338/7019 is 247078

Greatest Common Factor of 28,7019 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,7019 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 7019

List of positive integer factors of 7019 that divides 7019 without a remainder.

1,7019

Greatest Common Factor

We found the factors 28,7019 . The biggest common factor number is the GCF number.
So the greatest common factor 28,7019 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 731/28, 338/7019

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 731/28, 338/7019?

Answer: LCM of Numerators as per given numbers 731/28, 338/7019 is

LCM of Numerators i.e. for 731,338 is 247078

GCF of denominators i.e. for 28,7019 is 1.

Thus, LCM of Fractions is 247078.Finally, LCM of Fractions for 731/28, 338/7019 is 247078.