Least Common Multiple of 46/230, 953/188, 912/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/230, 953/188, 912/328 quickly i.e. 9995064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/230, 953/188, 912/328 is 9995064.

LCM(46/230, 953/188, 912/328) = 9995064

LCM of 46/230, 953/188, 912/328

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 46/230,953/188,912/328

Given numbers are 46/230,953/188,912/328

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 46,953,912

Least Common Multiple of Numerators i.e. LCM of 46,953,912 is 19990128.

GCF of Denominators means GCF of 230,188,328 as per the given fractions.

GCF of 230,188,328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,953,912

LCM of Fractions 46/230,953/188,912/328 is 9995064

2 46, 953, 912
23, 953, 456

∴ So the LCM of the given numbers is 2 x 23 x 953 x 456 = 19990128

Least Common Multiple of 46,953,912 with GCF Formula

Least Common Multiple of 46,953,912 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 46,953,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,953,912) = 1

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

GCF(46,953,912) x common factors =1 x 2 = 2

LCM(46,953,912) = ( 46 × 953 × 912 ) / 2

LCM(46,953,912) = 39980256 / 2

LCM(46,953,912) = 19990128


Lets's calculate GCF of 230,188,328

2 230, 188, 328
115, 94, 164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19990128/2

Therefore the LCM of Fractions 46/230,953/188,912/328 is 9995064

Greatest Common Factor of 230,188,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,188,328 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 230,188,328 . The biggest common factor number is the GCF number.
So the greatest common factor 230,188,328 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 46/230, 953/188, 912/328

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 46/230, 953/188, 912/328?

Answer: LCM of Numerators as per given numbers 46/230, 953/188, 912/328 is

LCM of Numerators i.e. for 46,953,912 is 19990128

GCF of denominators i.e. for 230,188,328 is 2.

Thus, LCM of Fractions is 9995064.Finally, LCM of Fractions for 46/230, 953/188, 912/328 is 9995064.