Least Common Multiple of 984/649, 444/842, 828/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/649, 444/842, 828/233 quickly i.e. 2512152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/649, 444/842, 828/233 is 2512152.

LCM(984/649, 444/842, 828/233) = 2512152

LCM of 984/649, 444/842, 828/233

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 984/649,444/842,828/233

Given numbers are 984/649,444/842,828/233

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 984,444,828

Least Common Multiple of Numerators i.e. LCM of 984,444,828 is 2512152.

GCF of Denominators means GCF of 649,842,233 as per the given fractions.

GCF of 649,842,233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,444,828

LCM of Fractions 984/649,444/842,828/233 is 2512152

2 984, 444, 828
2 492, 222, 414
3 246, 111, 207
82, 37, 69

∴ So the LCM of the given numbers is 2 x 2 x 3 x 82 x 37 x 69 = 2512152

Least Common Multiple of 984,444,828 with GCF Formula

Least Common Multiple of 984,444,828 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 984,444,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,444,828) = 12

common factors(in case of two or more numbers have common factors) = 12

GCF(984,444,828) x common factors =12 x 12 = 144

LCM(984,444,828) = ( 984 × 444 × 828 ) / 144

LCM(984,444,828) = 361749888 / 144

LCM(984,444,828) = 2512152


Lets's calculate GCF of 649,842,233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2512152/1

Therefore the LCM of Fractions 984/649,444/842,828/233 is 2512152

Greatest Common Factor of 649,842,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,842,233 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Greatest Common Factor

We found the factors 649,842,233 . The biggest common factor number is the GCF number.
So the greatest common factor 649,842,233 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 984/649, 444/842, 828/233

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 984/649, 444/842, 828/233?

Answer: LCM of Numerators as per given numbers 984/649, 444/842, 828/233 is

LCM of Numerators i.e. for 984,444,828 is 2512152

GCF of denominators i.e. for 649,842,233 is 1.

Thus, LCM of Fractions is 2512152.Finally, LCM of Fractions for 984/649, 444/842, 828/233 is 2512152.