Least Common Multiple of 23/839, 44/189, 894/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/839, 44/189, 894/416 quickly i.e. 452364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/839, 44/189, 894/416 is 452364.

LCM(23/839, 44/189, 894/416) = 452364

LCM of 23/839, 44/189, 894/416

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 23/839,44/189,894/416

Given numbers are 23/839,44/189,894/416

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 23,44,894

Least Common Multiple of Numerators i.e. LCM of 23,44,894 is 452364.

GCF of Denominators means GCF of 839,189,416 as per the given fractions.

GCF of 839,189,416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,44,894

LCM of Fractions 23/839,44/189,894/416 is 452364

2 23, 44, 894
23, 22, 447

∴ So the LCM of the given numbers is 2 x 23 x 22 x 447 = 452364

Least Common Multiple of 23,44,894 with GCF Formula

Least Common Multiple of 23,44,894 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 23,44,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,44,894) = 1

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

GCF(23,44,894) x common factors =1 x 2 = 2

LCM(23,44,894) = ( 23 × 44 × 894 ) / 2

LCM(23,44,894) = 904728 / 2

LCM(23,44,894) = 452364


Lets's calculate GCF of 839,189,416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 452364/1

Therefore the LCM of Fractions 23/839,44/189,894/416 is 452364

Greatest Common Factor of 839,189,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,189,416 By Matching Biggest Common Factor Method

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 839,189,416 . The biggest common factor number is the GCF number.
So the greatest common factor 839,189,416 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 23/839, 44/189, 894/416

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 23/839, 44/189, 894/416?

Answer: LCM of Numerators as per given numbers 23/839, 44/189, 894/416 is

LCM of Numerators i.e. for 23,44,894 is 452364

GCF of denominators i.e. for 839,189,416 is 1.

Thus, LCM of Fractions is 452364.Finally, LCM of Fractions for 23/839, 44/189, 894/416 is 452364.