Least Common Multiple of 984/313, 236/439, 159/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/313, 236/439, 159/830 quickly i.e. 3076968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/313, 236/439, 159/830 is 3076968.

LCM(984/313, 236/439, 159/830) = 3076968

LCM of 984/313, 236/439, 159/830

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 984/313,236/439,159/830

Given numbers are 984/313,236/439,159/830

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 984,236,159

Least Common Multiple of Numerators i.e. LCM of 984,236,159 is 3076968.

GCF of Denominators means GCF of 313,439,830 as per the given fractions.

GCF of 313,439,830 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,236,159

LCM of Fractions 984/313,236/439,159/830 is 3076968

2 984, 236, 159
2 492, 118, 159
3 246, 59, 159
82, 59, 53

∴ So the LCM of the given numbers is 2 x 2 x 3 x 82 x 59 x 53 = 3076968

Least Common Multiple of 984,236,159 with GCF Formula

Least Common Multiple of 984,236,159 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 984,236,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,236,159) = 1

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

GCF(984,236,159) x common factors =1 x 12 = 12

LCM(984,236,159) = ( 984 × 236 × 159 ) / 12

LCM(984,236,159) = 36923616 / 12

LCM(984,236,159) = 3076968


Lets's calculate GCF of 313,439,830

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3076968/1

Therefore the LCM of Fractions 984/313,236/439,159/830 is 3076968

Greatest Common Factor of 313,439,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,439,830 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 313,439,830 . The biggest common factor number is the GCF number.
So the greatest common factor 313,439,830 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 984/313, 236/439, 159/830

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 984/313, 236/439, 159/830?

Answer: LCM of Numerators as per given numbers 984/313, 236/439, 159/830 is

LCM of Numerators i.e. for 984,236,159 is 3076968

GCF of denominators i.e. for 313,439,830 is 1.

Thus, LCM of Fractions is 3076968.Finally, LCM of Fractions for 984/313, 236/439, 159/830 is 3076968.