Least Common Multiple of 344/33, 428/6214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/33, 428/6214 quickly i.e. 36808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/33, 428/6214 is 36808.

LCM(344/33, 428/6214) = 36808

LCM of 344/33, 428/6214

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 344/33,428/6214

Given numbers are 344/33,428/6214

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 344,428

Least Common Multiple of Numerators i.e. LCM of 344,428 is 36808.

GCF of Denominators means GCF of 33,6214 as per the given fractions.

GCF of 33,6214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,428

LCM of Fractions 344/33,428/6214 is 36808

2 344, 428
2 172, 214
86, 107

∴ So the LCM of the given numbers is 2 x 2 x 86 x 107 = 36808

Least Common Multiple of 344,428 with GCF Formula

Least Common Multiple of 344,428 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 344,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,428) = 4

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

GCF(344,428) x common factors =4 x 1 = 4

LCM(344,428) = ( 344 × 428 ) / 4

LCM(344,428) = 147232 / 4

LCM(344,428) = 36808


Lets's calculate GCF of 33,6214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36808/1

Therefore the LCM of Fractions 344/33,428/6214 is 36808

Greatest Common Factor of 33,6214 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,6214 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 6214

List of positive integer factors of 6214 that divides 6214 without a remainder.

1,2,13,26,239,478,3107,6214

Greatest Common Factor

We found the factors 33,6214 . The biggest common factor number is the GCF number.
So the greatest common factor 33,6214 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 344/33, 428/6214

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 344/33, 428/6214?

Answer: LCM of Numerators as per given numbers 344/33, 428/6214 is

LCM of Numerators i.e. for 344,428 is 36808

GCF of denominators i.e. for 33,6214 is 1.

Thus, LCM of Fractions is 36808.Finally, LCM of Fractions for 344/33, 428/6214 is 36808.