Least Common Multiple of 428/534, 895/344, 226/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/534, 895/344, 226/394 quickly i.e. 21642890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/534, 895/344, 226/394 is 21642890.

LCM(428/534, 895/344, 226/394) = 21642890

LCM of 428/534, 895/344, 226/394

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 428/534,895/344,226/394

Given numbers are 428/534,895/344,226/394

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 428,895,226

Least Common Multiple of Numerators i.e. LCM of 428,895,226 is 43285780.

GCF of Denominators means GCF of 534,344,394 as per the given fractions.

GCF of 534,344,394 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,895,226

LCM of Fractions 428/534,895/344,226/394 is 21642890

2 428, 895, 226
214, 895, 113

∴ So the LCM of the given numbers is 2 x 214 x 895 x 113 = 43285780

Least Common Multiple of 428,895,226 with GCF Formula

Least Common Multiple of 428,895,226 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 428,895,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,895,226) = 1

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

GCF(428,895,226) x common factors =1 x 2 = 2

LCM(428,895,226) = ( 428 × 895 × 226 ) / 2

LCM(428,895,226) = 86571560 / 2

LCM(428,895,226) = 43285780


Lets's calculate GCF of 534,344,394

2 534, 344, 394
267, 172, 197

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43285780/2

Therefore the LCM of Fractions 428/534,895/344,226/394 is 21642890

Greatest Common Factor of 534,344,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,344,394 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 394

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

1,2,197,394

Greatest Common Factor

We found the factors 534,344,394 . The biggest common factor number is the GCF number.
So the greatest common factor 534,344,394 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 428/534, 895/344, 226/394

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 428/534, 895/344, 226/394?

Answer: LCM of Numerators as per given numbers 428/534, 895/344, 226/394 is

LCM of Numerators i.e. for 428,895,226 is 43285780

GCF of denominators i.e. for 534,344,394 is 2.

Thus, LCM of Fractions is 21642890.Finally, LCM of Fractions for 428/534, 895/344, 226/394 is 21642890.