Least Common Multiple of 598/12, 821/50, 869/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 598/12, 821/50, 869/384 quickly i.e. 213321251 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 598/12, 821/50, 869/384 is 213321251.

LCM(598/12, 821/50, 869/384) = 213321251

LCM of 598/12, 821/50, 869/384

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 598/12,821/50,869/384

Given numbers are 598/12,821/50,869/384

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 598,821,869

Least Common Multiple of Numerators i.e. LCM of 598,821,869 is 426642502.

GCF of Denominators means GCF of 12,50,384 as per the given fractions.

GCF of 12,50,384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 598,821,869

LCM of Fractions 598/12,821/50,869/384 is 213321251

Given numbers has no common factors except 1. So, there LCM is their product i.e 426642502

Least Common Multiple of 598,821,869 with GCF Formula

Least Common Multiple of 598,821,869 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 598,821,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,821,869) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(598,821,869) x common factors =1 x 1 = 1

LCM(598,821,869) = ( 598 × 821 × 869 ) / 1

LCM(598,821,869) = 426642502 / 1

LCM(598,821,869) = 426642502


Lets's calculate GCF of 12,50,384

2 12, 50, 384
6, 25, 192

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426642502/2

Therefore the LCM of Fractions 598/12,821/50,869/384 is 213321251

Greatest Common Factor of 12,50,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,50,384 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 12,50,384 . The biggest common factor number is the GCF number.
So the greatest common factor 12,50,384 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 598/12, 821/50, 869/384

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 598/12, 821/50, 869/384?

Answer: LCM of Numerators as per given numbers 598/12, 821/50, 869/384 is

LCM of Numerators i.e. for 598,821,869 is 426642502

GCF of denominators i.e. for 12,50,384 is 2.

Thus, LCM of Fractions is 213321251.Finally, LCM of Fractions for 598/12, 821/50, 869/384 is 213321251.