Least Common Multiple of 73/756, 81/934, 738/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/756, 81/934, 738/182 quickly i.e. 242433 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/756, 81/934, 738/182 is 242433.

LCM(73/756, 81/934, 738/182) = 242433

LCM of 73/756, 81/934, 738/182

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 73/756,81/934,738/182

Given numbers are 73/756,81/934,738/182

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 73,81,738

Least Common Multiple of Numerators i.e. LCM of 73,81,738 is 484866.

GCF of Denominators means GCF of 756,934,182 as per the given fractions.

GCF of 756,934,182 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,81,738

LCM of Fractions 73/756,81/934,738/182 is 242433

3 73, 81, 738
3 73, 27, 246
73, 9, 82

∴ So the LCM of the given numbers is 3 x 3 x 73 x 9 x 82 = 484866

Least Common Multiple of 73,81,738 with GCF Formula

Least Common Multiple of 73,81,738 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 73,81,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,81,738) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(73,81,738) x common factors =1 x 9 = 9

LCM(73,81,738) = ( 73 × 81 × 738 ) / 9

LCM(73,81,738) = 4363794 / 9

LCM(73,81,738) = 484866


Lets's calculate GCF of 756,934,182

2 756, 934, 182
378, 467, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 484866/2

Therefore the LCM of Fractions 73/756,81/934,738/182 is 242433

Greatest Common Factor of 756,934,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,934,182 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 756,934,182 . The biggest common factor number is the GCF number.
So the greatest common factor 756,934,182 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 73/756, 81/934, 738/182

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 73/756, 81/934, 738/182?

Answer: LCM of Numerators as per given numbers 73/756, 81/934, 738/182 is

LCM of Numerators i.e. for 73,81,738 is 484866

GCF of denominators i.e. for 756,934,182 is 2.

Thus, LCM of Fractions is 242433.Finally, LCM of Fractions for 73/756, 81/934, 738/182 is 242433.