Least Common Multiple of 300/64, 992/28, 233/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/64, 992/28, 233/146 quickly i.e. 8667600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/64, 992/28, 233/146 is 8667600.

LCM(300/64, 992/28, 233/146) = 8667600

LCM of 300/64, 992/28, 233/146

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 300/64,992/28,233/146

Given numbers are 300/64,992/28,233/146

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 300,992,233

Least Common Multiple of Numerators i.e. LCM of 300,992,233 is 17335200.

GCF of Denominators means GCF of 64,28,146 as per the given fractions.

GCF of 64,28,146 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,992,233

LCM of Fractions 300/64,992/28,233/146 is 8667600

2 300, 992, 233
2 150, 496, 233
75, 248, 233

∴ So the LCM of the given numbers is 2 x 2 x 75 x 248 x 233 = 17335200

Least Common Multiple of 300,992,233 with GCF Formula

Least Common Multiple of 300,992,233 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 300,992,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,992,233) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(300,992,233) x common factors =1 x 4 = 4

LCM(300,992,233) = ( 300 × 992 × 233 ) / 4

LCM(300,992,233) = 69340800 / 4

LCM(300,992,233) = 17335200


Lets's calculate GCF of 64,28,146

2 64, 28, 146
32, 14, 73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17335200/2

Therefore the LCM of Fractions 300/64,992/28,233/146 is 8667600

Greatest Common Factor of 64,28,146 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,28,146 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Greatest Common Factor

We found the factors 64,28,146 . The biggest common factor number is the GCF number.
So the greatest common factor 64,28,146 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 300/64, 992/28, 233/146

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 300/64, 992/28, 233/146?

Answer: LCM of Numerators as per given numbers 300/64, 992/28, 233/146 is

LCM of Numerators i.e. for 300,992,233 is 17335200

GCF of denominators i.e. for 64,28,146 is 2.

Thus, LCM of Fractions is 8667600.Finally, LCM of Fractions for 300/64, 992/28, 233/146 is 8667600.