Least Common Multiple of 69/816, 382/904, 873/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/816, 382/904, 873/452 quickly i.e. 7670178/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/816, 382/904, 873/452 is 7670178/4.

LCM(69/816, 382/904, 873/452) = 7670178/4

LCM of 69/816, 382/904, 873/452

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 69/816,382/904,873/452

Given numbers are 69/816,382/904,873/452

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 69,382,873

Least Common Multiple of Numerators i.e. LCM of 69,382,873 is 7670178.

GCF of Denominators means GCF of 816,904,452 as per the given fractions.

GCF of 816,904,452 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,382,873

LCM of Fractions 69/816,382/904,873/452 is 7670178/4

3 69, 382, 873
23, 382, 291

∴ So the LCM of the given numbers is 3 x 23 x 382 x 291 = 7670178

Least Common Multiple of 69,382,873 with GCF Formula

Least Common Multiple of 69,382,873 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 69,382,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,382,873) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,382,873) x common factors =1 x 3 = 3

LCM(69,382,873) = ( 69 × 382 × 873 ) / 3

LCM(69,382,873) = 23010534 / 3

LCM(69,382,873) = 7670178


Lets's calculate GCF of 816,904,452

2 816, 904, 452
2 408, 452, 226
204, 113, 226

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7670178/4

Therefore the LCM of Fractions 69/816,382/904,873/452 is 7670178/4

Greatest Common Factor of 816,904,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,904,452 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 816,904,452 . The biggest common factor number is the GCF number.
So the greatest common factor 816,904,452 is 4.


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 69/816, 382/904, 873/452

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 69/816, 382/904, 873/452?

Answer: LCM of Numerators as per given numbers 69/816, 382/904, 873/452 is

LCM of Numerators i.e. for 69,382,873 is 7670178

GCF of denominators i.e. for 816,904,452 is 4.

Thus, LCM of Fractions is 7670178/4.Finally, LCM of Fractions for 69/816, 382/904, 873/452 is 7670178/4.