Least Common Multiple of 382/502, 214/173, 433/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/502, 214/173, 433/698 quickly i.e. 17698442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/502, 214/173, 433/698 is 17698442.

LCM(382/502, 214/173, 433/698) = 17698442

LCM of 382/502, 214/173, 433/698

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 382/502,214/173,433/698

Given numbers are 382/502,214/173,433/698

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 382,214,433

Least Common Multiple of Numerators i.e. LCM of 382,214,433 is 17698442.

GCF of Denominators means GCF of 502,173,698 as per the given fractions.

GCF of 502,173,698 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,214,433

LCM of Fractions 382/502,214/173,433/698 is 17698442

2 382, 214, 433
191, 107, 433

∴ So the LCM of the given numbers is 2 x 191 x 107 x 433 = 17698442

Least Common Multiple of 382,214,433 with GCF Formula

Least Common Multiple of 382,214,433 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 382,214,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,214,433) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(382,214,433) x common factors =1 x 2 = 2

LCM(382,214,433) = ( 382 × 214 × 433 ) / 2

LCM(382,214,433) = 35396884 / 2

LCM(382,214,433) = 17698442


Lets's calculate GCF of 502,173,698

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17698442/1

Therefore the LCM of Fractions 382/502,214/173,433/698 is 17698442

Greatest Common Factor of 502,173,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,173,698 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Greatest Common Factor

We found the factors 502,173,698 . The biggest common factor number is the GCF number.
So the greatest common factor 502,173,698 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 382/502, 214/173, 433/698

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 382/502, 214/173, 433/698?

Answer: LCM of Numerators as per given numbers 382/502, 214/173, 433/698 is

LCM of Numerators i.e. for 382,214,433 is 17698442

GCF of denominators i.e. for 502,173,698 is 1.

Thus, LCM of Fractions is 17698442.Finally, LCM of Fractions for 382/502, 214/173, 433/698 is 17698442.