Least Common Multiple of 854/33, 984/83, 801/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 854/33, 984/83, 801/721 quickly i.e. 112184856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/33, 984/83, 801/721 is 112184856.

LCM(854/33, 984/83, 801/721) = 112184856

LCM of 854/33, 984/83, 801/721

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 854/33,984/83,801/721

Given numbers are 854/33,984/83,801/721

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 854,984,801

Least Common Multiple of Numerators i.e. LCM of 854,984,801 is 112184856.

GCF of Denominators means GCF of 33,83,721 as per the given fractions.

GCF of 33,83,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,984,801

LCM of Fractions 854/33,984/83,801/721 is 112184856

2 854, 984, 801
3 427, 492, 801
427, 164, 267

∴ So the LCM of the given numbers is 2 x 3 x 427 x 164 x 267 = 112184856

Least Common Multiple of 854,984,801 with GCF Formula

Least Common Multiple of 854,984,801 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 854,984,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,984,801) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(854,984,801) x common factors =1 x 6 = 6

LCM(854,984,801) = ( 854 × 984 × 801 ) / 6

LCM(854,984,801) = 673109136 / 6

LCM(854,984,801) = 112184856


Lets's calculate GCF of 33,83,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112184856/1

Therefore the LCM of Fractions 854/33,984/83,801/721 is 112184856

Greatest Common Factor of 33,83,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,83,721 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 33,83,721 . The biggest common factor number is the GCF number.
So the greatest common factor 33,83,721 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 854/33, 984/83, 801/721

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 854/33, 984/83, 801/721?

Answer: LCM of Numerators as per given numbers 854/33, 984/83, 801/721 is

LCM of Numerators i.e. for 854,984,801 is 112184856

GCF of denominators i.e. for 33,83,721 is 1.

Thus, LCM of Fractions is 112184856.Finally, LCM of Fractions for 854/33, 984/83, 801/721 is 112184856.