Least Common Multiple of 12/754, 46/820, 757/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/754, 46/820, 757/836 quickly i.e. 104466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/754, 46/820, 757/836 is 104466.

LCM(12/754, 46/820, 757/836) = 104466

LCM of 12/754, 46/820, 757/836

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 12/754,46/820,757/836

Given numbers are 12/754,46/820,757/836

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 12,46,757

Least Common Multiple of Numerators i.e. LCM of 12,46,757 is 208932.

GCF of Denominators means GCF of 754,820,836 as per the given fractions.

GCF of 754,820,836 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,46,757

LCM of Fractions 12/754,46/820,757/836 is 104466

2 12, 46, 757
6, 23, 757

∴ So the LCM of the given numbers is 2 x 6 x 23 x 757 = 208932

Least Common Multiple of 12,46,757 with GCF Formula

Least Common Multiple of 12,46,757 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 12,46,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,46,757) = 1

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

GCF(12,46,757) x common factors =1 x 2 = 2

LCM(12,46,757) = ( 12 × 46 × 757 ) / 2

LCM(12,46,757) = 417864 / 2

LCM(12,46,757) = 208932


Lets's calculate GCF of 754,820,836

2 754, 820, 836
377, 410, 418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208932/2

Therefore the LCM of Fractions 12/754,46/820,757/836 is 104466

Greatest Common Factor of 754,820,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,820,836 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 754,820,836 . The biggest common factor number is the GCF number.
So the greatest common factor 754,820,836 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 12/754, 46/820, 757/836

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 12/754, 46/820, 757/836?

Answer: LCM of Numerators as per given numbers 12/754, 46/820, 757/836 is

LCM of Numerators i.e. for 12,46,757 is 208932

GCF of denominators i.e. for 754,820,836 is 2.

Thus, LCM of Fractions is 104466.Finally, LCM of Fractions for 12/754, 46/820, 757/836 is 104466.