Least Common Multiple of 218/433, 3438/6015

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/433, 3438/6015 quickly i.e. 374742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/433, 3438/6015 is 374742.

LCM(218/433, 3438/6015) = 374742

LCM of 218/433, 3438/6015

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 218/433,3438/6015

Given numbers are 218/433,3438/6015

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 218,3438

Least Common Multiple of Numerators i.e. LCM of 218,3438 is 374742.

GCF of Denominators means GCF of 433,6015 as per the given fractions.

GCF of 433,6015 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,3438

LCM of Fractions 218/433,3438/6015 is 374742

2 218, 3438
109, 1719

∴ So the LCM of the given numbers is 2 x 109 x 1719 = 374742

Least Common Multiple of 218,3438 with GCF Formula

Least Common Multiple of 218,3438 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 218,3438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,3438) = 2

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

GCF(218,3438) x common factors =2 x 1 = 2

LCM(218,3438) = ( 218 × 3438 ) / 2

LCM(218,3438) = 749484 / 2

LCM(218,3438) = 374742


Lets's calculate GCF of 433,6015

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374742/1

Therefore the LCM of Fractions 218/433,3438/6015 is 374742

Greatest Common Factor of 433,6015 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,6015 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 6015

List of positive integer factors of 6015 that divides 6015 without a remainder.

1,3,5,15,401,1203,2005,6015

Greatest Common Factor

We found the factors 433,6015 . The biggest common factor number is the GCF number.
So the greatest common factor 433,6015 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 218/433, 3438/6015

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 218/433, 3438/6015?

Answer: LCM of Numerators as per given numbers 218/433, 3438/6015 is

LCM of Numerators i.e. for 218,3438 is 374742

GCF of denominators i.e. for 433,6015 is 1.

Thus, LCM of Fractions is 374742.Finally, LCM of Fractions for 218/433, 3438/6015 is 374742.