Least Common Multiple of 823/424, 685/895, 486/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 823/424, 685/895, 486/104 quickly i.e. 273984930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/424, 685/895, 486/104 is 273984930.

LCM(823/424, 685/895, 486/104) = 273984930

LCM of 823/424, 685/895, 486/104

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 823/424,685/895,486/104

Given numbers are 823/424,685/895,486/104

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 823,685,486

Least Common Multiple of Numerators i.e. LCM of 823,685,486 is 273984930.

GCF of Denominators means GCF of 424,895,104 as per the given fractions.

GCF of 424,895,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,685,486

LCM of Fractions 823/424,685/895,486/104 is 273984930

Given numbers has no common factors except 1. So, there LCM is their product i.e 273984930

Least Common Multiple of 823,685,486 with GCF Formula

Least Common Multiple of 823,685,486 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 823,685,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,685,486) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(823,685,486) x common factors =1 x 1 = 1

LCM(823,685,486) = ( 823 × 685 × 486 ) / 1

LCM(823,685,486) = 273984930 / 1

LCM(823,685,486) = 273984930


Lets's calculate GCF of 424,895,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273984930/1

Therefore the LCM of Fractions 823/424,685/895,486/104 is 273984930

Greatest Common Factor of 424,895,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,895,104 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 424,895,104 . The biggest common factor number is the GCF number.
So the greatest common factor 424,895,104 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 823/424, 685/895, 486/104

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 823/424, 685/895, 486/104?

Answer: LCM of Numerators as per given numbers 823/424, 685/895, 486/104 is

LCM of Numerators i.e. for 823,685,486 is 273984930

GCF of denominators i.e. for 424,895,104 is 1.

Thus, LCM of Fractions is 273984930.Finally, LCM of Fractions for 823/424, 685/895, 486/104 is 273984930.