Least Common Multiple of 81/337, 936/396, 856/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/337, 936/396, 856/454 quickly i.e. 901368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/337, 936/396, 856/454 is 901368.

LCM(81/337, 936/396, 856/454) = 901368

LCM of 81/337, 936/396, 856/454

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 81/337,936/396,856/454

Given numbers are 81/337,936/396,856/454

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 81,936,856

Least Common Multiple of Numerators i.e. LCM of 81,936,856 is 901368.

GCF of Denominators means GCF of 337,396,454 as per the given fractions.

GCF of 337,396,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,936,856

LCM of Fractions 81/337,936/396,856/454 is 901368

2 81, 936, 856
2 81, 468, 428
2 81, 234, 214
3 81, 117, 107
3 27, 39, 107
9, 13, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 9 x 13 x 107 = 901368

Least Common Multiple of 81,936,856 with GCF Formula

Least Common Multiple of 81,936,856 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 81,936,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,936,856) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(81,936,856) x common factors =1 x 72 = 72

LCM(81,936,856) = ( 81 × 936 × 856 ) / 72

LCM(81,936,856) = 64898496 / 72

LCM(81,936,856) = 901368


Lets's calculate GCF of 337,396,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 901368/1

Therefore the LCM of Fractions 81/337,936/396,856/454 is 901368

Greatest Common Factor of 337,396,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,396,454 By Matching Biggest Common Factor Method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 337,396,454 . The biggest common factor number is the GCF number.
So the greatest common factor 337,396,454 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/337, 936/396, 856/454

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 81/337, 936/396, 856/454?

Answer: LCM of Numerators as per given numbers 81/337, 936/396, 856/454 is

LCM of Numerators i.e. for 81,936,856 is 901368

GCF of denominators i.e. for 337,396,454 is 1.

Thus, LCM of Fractions is 901368.Finally, LCM of Fractions for 81/337, 936/396, 856/454 is 901368.