Least Common Multiple of 11/820, 476/70, 756/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/820, 476/70, 756/232 quickly i.e. 70686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/820, 476/70, 756/232 is 70686.

LCM(11/820, 476/70, 756/232) = 70686

LCM of 11/820, 476/70, 756/232

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 11/820,476/70,756/232

Given numbers are 11/820,476/70,756/232

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 11,476,756

Least Common Multiple of Numerators i.e. LCM of 11,476,756 is 141372.

GCF of Denominators means GCF of 820,70,232 as per the given fractions.

GCF of 820,70,232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,476,756

LCM of Fractions 11/820,476/70,756/232 is 70686

2 11, 476, 756
2 11, 238, 378
7 11, 119, 189
11, 17, 27

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 17 x 27 = 141372

Least Common Multiple of 11,476,756 with GCF Formula

Least Common Multiple of 11,476,756 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 11,476,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,476,756) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(11,476,756) x common factors =1 x 28 = 28

LCM(11,476,756) = ( 11 × 476 × 756 ) / 28

LCM(11,476,756) = 3958416 / 28

LCM(11,476,756) = 141372


Lets's calculate GCF of 820,70,232

2 820, 70, 232
410, 35, 116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141372/2

Therefore the LCM of Fractions 11/820,476/70,756/232 is 70686

Greatest Common Factor of 820,70,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,70,232 By Matching Biggest Common Factor Method

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 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 820,70,232 . The biggest common factor number is the GCF number.
So the greatest common factor 820,70,232 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 11/820, 476/70, 756/232

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 11/820, 476/70, 756/232?

Answer: LCM of Numerators as per given numbers 11/820, 476/70, 756/232 is

LCM of Numerators i.e. for 11,476,756 is 141372

GCF of denominators i.e. for 820,70,232 is 2.

Thus, LCM of Fractions is 70686.Finally, LCM of Fractions for 11/820, 476/70, 756/232 is 70686.