Least Common Multiple of 55/838, 69/394, 474/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/838, 69/394, 474/214 quickly i.e. 299805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/838, 69/394, 474/214 is 299805.

LCM(55/838, 69/394, 474/214) = 299805

LCM of 55/838, 69/394, 474/214

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 55/838,69/394,474/214

Given numbers are 55/838,69/394,474/214

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 55,69,474

Least Common Multiple of Numerators i.e. LCM of 55,69,474 is 599610.

GCF of Denominators means GCF of 838,394,214 as per the given fractions.

GCF of 838,394,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,69,474

LCM of Fractions 55/838,69/394,474/214 is 299805

3 55, 69, 474
55, 23, 158

∴ So the LCM of the given numbers is 3 x 55 x 23 x 158 = 599610

Least Common Multiple of 55,69,474 with GCF Formula

Least Common Multiple of 55,69,474 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 55,69,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,69,474) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(55,69,474) x common factors =1 x 3 = 3

LCM(55,69,474) = ( 55 × 69 × 474 ) / 3

LCM(55,69,474) = 1798830 / 3

LCM(55,69,474) = 599610


Lets's calculate GCF of 838,394,214

2 838, 394, 214
419, 197, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599610/2

Therefore the LCM of Fractions 55/838,69/394,474/214 is 299805

Greatest Common Factor of 838,394,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,394,214 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 838,394,214 . The biggest common factor number is the GCF number.
So the greatest common factor 838,394,214 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 55/838, 69/394, 474/214

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 55/838, 69/394, 474/214?

Answer: LCM of Numerators as per given numbers 55/838, 69/394, 474/214 is

LCM of Numerators i.e. for 55,69,474 is 599610

GCF of denominators i.e. for 838,394,214 is 2.

Thus, LCM of Fractions is 299805.Finally, LCM of Fractions for 55/838, 69/394, 474/214 is 299805.