Least Common Multiple of 706/33, 471/84, 233/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 706/33, 471/84, 233/648 quickly i.e. 25826186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 706/33, 471/84, 233/648 is 25826186.

LCM(706/33, 471/84, 233/648) = 25826186

LCM of 706/33, 471/84, 233/648

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 706/33,471/84,233/648

Given numbers are 706/33,471/84,233/648

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 706,471,233

Least Common Multiple of Numerators i.e. LCM of 706,471,233 is 77478558.

GCF of Denominators means GCF of 33,84,648 as per the given fractions.

GCF of 33,84,648 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 706,471,233

LCM of Fractions 706/33,471/84,233/648 is 25826186

Given numbers has no common factors except 1. So, there LCM is their product i.e 77478558

Least Common Multiple of 706,471,233 with GCF Formula

Least Common Multiple of 706,471,233 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 706,471,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,471,233) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(706,471,233) x common factors =1 x 1 = 1

LCM(706,471,233) = ( 706 × 471 × 233 ) / 1

LCM(706,471,233) = 77478558 / 1

LCM(706,471,233) = 77478558


Lets's calculate GCF of 33,84,648

3 33, 84, 648
11, 28, 216

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77478558/3

Therefore the LCM of Fractions 706/33,471/84,233/648 is 25826186

Greatest Common Factor of 33,84,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,84,648 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 33,84,648 . The biggest common factor number is the GCF number.
So the greatest common factor 33,84,648 is 3.


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 706/33, 471/84, 233/648

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 706/33, 471/84, 233/648?

Answer: LCM of Numerators as per given numbers 706/33, 471/84, 233/648 is

LCM of Numerators i.e. for 706,471,233 is 77478558

GCF of denominators i.e. for 33,84,648 is 3.

Thus, LCM of Fractions is 25826186.Finally, LCM of Fractions for 706/33, 471/84, 233/648 is 25826186.