Least Common Multiple of 485/82, 693/86, 122/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 485/82, 693/86, 122/730 quickly i.e. 20502405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/82, 693/86, 122/730 is 20502405.

LCM(485/82, 693/86, 122/730) = 20502405

LCM of 485/82, 693/86, 122/730

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 485/82,693/86,122/730

Given numbers are 485/82,693/86,122/730

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 485,693,122

Least Common Multiple of Numerators i.e. LCM of 485,693,122 is 41004810.

GCF of Denominators means GCF of 82,86,730 as per the given fractions.

GCF of 82,86,730 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,693,122

LCM of Fractions 485/82,693/86,122/730 is 20502405

Given numbers has no common factors except 1. So, there LCM is their product i.e 41004810

Least Common Multiple of 485,693,122 with GCF Formula

Least Common Multiple of 485,693,122 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 485,693,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,693,122) = 1

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

GCF(485,693,122) x common factors =1 x 1 = 1

LCM(485,693,122) = ( 485 × 693 × 122 ) / 1

LCM(485,693,122) = 41004810 / 1

LCM(485,693,122) = 41004810


Lets's calculate GCF of 82,86,730

2 82, 86, 730
41, 43, 365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41004810/2

Therefore the LCM of Fractions 485/82,693/86,122/730 is 20502405

Greatest Common Factor of 82,86,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,86,730 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 82,86,730 . The biggest common factor number is the GCF number.
So the greatest common factor 82,86,730 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 485/82, 693/86, 122/730

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 485/82, 693/86, 122/730?

Answer: LCM of Numerators as per given numbers 485/82, 693/86, 122/730 is

LCM of Numerators i.e. for 485,693,122 is 41004810

GCF of denominators i.e. for 82,86,730 is 2.

Thus, LCM of Fractions is 20502405.Finally, LCM of Fractions for 485/82, 693/86, 122/730 is 20502405.