Least Common Multiple of 37/86, 724/96, 728/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/86, 724/96, 728/404 quickly i.e. 2437708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/86, 724/96, 728/404 is 2437708.

LCM(37/86, 724/96, 728/404) = 2437708

LCM of 37/86, 724/96, 728/404

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 37/86,724/96,728/404

Given numbers are 37/86,724/96,728/404

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 37,724,728

Least Common Multiple of Numerators i.e. LCM of 37,724,728 is 4875416.

GCF of Denominators means GCF of 86,96,404 as per the given fractions.

GCF of 86,96,404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,724,728

LCM of Fractions 37/86,724/96,728/404 is 2437708

2 37, 724, 728
2 37, 362, 364
37, 181, 182

∴ So the LCM of the given numbers is 2 x 2 x 37 x 181 x 182 = 4875416

Least Common Multiple of 37,724,728 with GCF Formula

Least Common Multiple of 37,724,728 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 37,724,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,724,728) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(37,724,728) x common factors =1 x 4 = 4

LCM(37,724,728) = ( 37 × 724 × 728 ) / 4

LCM(37,724,728) = 19501664 / 4

LCM(37,724,728) = 4875416


Lets's calculate GCF of 86,96,404

2 86, 96, 404
43, 48, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4875416/2

Therefore the LCM of Fractions 37/86,724/96,728/404 is 2437708

Greatest Common Factor of 86,96,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,96,404 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 86,96,404 . The biggest common factor number is the GCF number.
So the greatest common factor 86,96,404 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 37/86, 724/96, 728/404

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 37/86, 724/96, 728/404?

Answer: LCM of Numerators as per given numbers 37/86, 724/96, 728/404 is

LCM of Numerators i.e. for 37,724,728 is 4875416

GCF of denominators i.e. for 86,96,404 is 2.

Thus, LCM of Fractions is 2437708.Finally, LCM of Fractions for 37/86, 724/96, 728/404 is 2437708.