Least Common Multiple of 233/44, 446/60, 688/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 233/44, 446/60, 688/30 quickly i.e. 17873896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 233/44, 446/60, 688/30 is 17873896.

LCM(233/44, 446/60, 688/30) = 17873896

LCM of 233/44, 446/60, 688/30

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 233/44,446/60,688/30

Given numbers are 233/44,446/60,688/30

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 233,446,688

Least Common Multiple of Numerators i.e. LCM of 233,446,688 is 35747792.

GCF of Denominators means GCF of 44,60,30 as per the given fractions.

GCF of 44,60,30 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 233,446,688

LCM of Fractions 233/44,446/60,688/30 is 17873896

2 233, 446, 688
233, 223, 344

∴ So the LCM of the given numbers is 2 x 233 x 223 x 344 = 35747792

Least Common Multiple of 233,446,688 with GCF Formula

Least Common Multiple of 233,446,688 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 233,446,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,446,688) = 1

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

GCF(233,446,688) x common factors =1 x 2 = 2

LCM(233,446,688) = ( 233 × 446 × 688 ) / 2

LCM(233,446,688) = 71495584 / 2

LCM(233,446,688) = 35747792


Lets's calculate GCF of 44,60,30

2 44, 60, 30
22, 30, 15

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35747792/2

Therefore the LCM of Fractions 233/44,446/60,688/30 is 17873896

Greatest Common Factor of 44,60,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,60,30 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 44,60,30 . The biggest common factor number is the GCF number.
So the greatest common factor 44,60,30 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 233/44, 446/60, 688/30

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 233/44, 446/60, 688/30?

Answer: LCM of Numerators as per given numbers 233/44, 446/60, 688/30 is

LCM of Numerators i.e. for 233,446,688 is 35747792

GCF of denominators i.e. for 44,60,30 is 2.

Thus, LCM of Fractions is 17873896.Finally, LCM of Fractions for 233/44, 446/60, 688/30 is 17873896.