Least Common Multiple of 724/14, 1036/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/14, 1036/398 quickly i.e. 93758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/14, 1036/398 is 93758.

LCM(724/14, 1036/398) = 93758

LCM of 724/14, 1036/398

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 724/14,1036/398

Given numbers are 724/14,1036/398

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 724,1036

Least Common Multiple of Numerators i.e. LCM of 724,1036 is 187516.

GCF of Denominators means GCF of 14,398 as per the given fractions.

GCF of 14,398 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,1036

LCM of Fractions 724/14,1036/398 is 93758

2 724, 1036
2 362, 518
181, 259

∴ So the LCM of the given numbers is 2 x 2 x 181 x 259 = 187516

Least Common Multiple of 724,1036 with GCF Formula

Least Common Multiple of 724,1036 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 724,1036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,1036) = 4

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

GCF(724,1036) x common factors =4 x 1 = 4

LCM(724,1036) = ( 724 × 1036 ) / 4

LCM(724,1036) = 750064 / 4

LCM(724,1036) = 187516


Lets's calculate GCF of 14,398

2 14, 398
7, 199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187516/2

Therefore the LCM of Fractions 724/14,1036/398 is 93758

Greatest Common Factor of 14,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,398 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 14,398 . The biggest common factor number is the GCF number.
So the greatest common factor 14,398 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 724/14, 1036/398

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 724/14, 1036/398?

Answer: LCM of Numerators as per given numbers 724/14, 1036/398 is

LCM of Numerators i.e. for 724,1036 is 187516

GCF of denominators i.e. for 14,398 is 2.

Thus, LCM of Fractions is 93758.Finally, LCM of Fractions for 724/14, 1036/398 is 93758.