Least Common Multiple of 829/882, 518/407, 696/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 829/882, 518/407, 696/469 quickly i.e. 149438856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 829/882, 518/407, 696/469 is 149438856.

LCM(829/882, 518/407, 696/469) = 149438856

LCM of 829/882, 518/407, 696/469

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 829/882,518/407,696/469

Given numbers are 829/882,518/407,696/469

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 829,518,696

Least Common Multiple of Numerators i.e. LCM of 829,518,696 is 149438856.

GCF of Denominators means GCF of 882,407,469 as per the given fractions.

GCF of 882,407,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 829,518,696

LCM of Fractions 829/882,518/407,696/469 is 149438856

2 829, 518, 696
829, 259, 348

∴ So the LCM of the given numbers is 2 x 829 x 259 x 348 = 149438856

Least Common Multiple of 829,518,696 with GCF Formula

Least Common Multiple of 829,518,696 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 829,518,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,518,696) = 1

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

GCF(829,518,696) x common factors =1 x 2 = 2

LCM(829,518,696) = ( 829 × 518 × 696 ) / 2

LCM(829,518,696) = 298877712 / 2

LCM(829,518,696) = 149438856


Lets's calculate GCF of 882,407,469

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149438856/1

Therefore the LCM of Fractions 829/882,518/407,696/469 is 149438856

Greatest Common Factor of 882,407,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,407,469 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 882,407,469 . The biggest common factor number is the GCF number.
So the greatest common factor 882,407,469 is 1.


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 829/882, 518/407, 696/469

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 829/882, 518/407, 696/469?

Answer: LCM of Numerators as per given numbers 829/882, 518/407, 696/469 is

LCM of Numerators i.e. for 829,518,696 is 149438856

GCF of denominators i.e. for 882,407,469 is 1.

Thus, LCM of Fractions is 149438856.Finally, LCM of Fractions for 829/882, 518/407, 696/469 is 149438856.