Least Common Multiple of 301/23, 614/12, 576/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/23, 614/12, 576/894 quickly i.e. 53226432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/23, 614/12, 576/894 is 53226432.

LCM(301/23, 614/12, 576/894) = 53226432

LCM of 301/23, 614/12, 576/894

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 301/23,614/12,576/894

Given numbers are 301/23,614/12,576/894

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 301,614,576

Least Common Multiple of Numerators i.e. LCM of 301,614,576 is 53226432.

GCF of Denominators means GCF of 23,12,894 as per the given fractions.

GCF of 23,12,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,614,576

LCM of Fractions 301/23,614/12,576/894 is 53226432

2 301, 614, 576
301, 307, 288

∴ So the LCM of the given numbers is 2 x 301 x 307 x 288 = 53226432

Least Common Multiple of 301,614,576 with GCF Formula

Least Common Multiple of 301,614,576 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 301,614,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,614,576) = 1

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

GCF(301,614,576) x common factors =1 x 2 = 2

LCM(301,614,576) = ( 301 × 614 × 576 ) / 2

LCM(301,614,576) = 106452864 / 2

LCM(301,614,576) = 53226432


Lets's calculate GCF of 23,12,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53226432/1

Therefore the LCM of Fractions 301/23,614/12,576/894 is 53226432

Greatest Common Factor of 23,12,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,12,894 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 23,12,894 . The biggest common factor number is the GCF number.
So the greatest common factor 23,12,894 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 301/23, 614/12, 576/894

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 301/23, 614/12, 576/894?

Answer: LCM of Numerators as per given numbers 301/23, 614/12, 576/894 is

LCM of Numerators i.e. for 301,614,576 is 53226432

GCF of denominators i.e. for 23,12,894 is 1.

Thus, LCM of Fractions is 53226432.Finally, LCM of Fractions for 301/23, 614/12, 576/894 is 53226432.