Least Common Multiple of 3986/904, 6445/1730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3986/904, 6445/1730 quickly i.e. 12844885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3986/904, 6445/1730 is 12844885.

LCM(3986/904, 6445/1730) = 12844885

LCM of 3986/904, 6445/1730

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 3986/904,6445/1730

Given numbers are 3986/904,6445/1730

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 3986,6445

Least Common Multiple of Numerators i.e. LCM of 3986,6445 is 25689770.

GCF of Denominators means GCF of 904,1730 as per the given fractions.

GCF of 904,1730 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3986,6445

LCM of Fractions 3986/904,6445/1730 is 12844885

Given numbers has no common factors except 1. So, there LCM is their product i.e 25689770

Least Common Multiple of 3986,6445 with GCF Formula

Least Common Multiple of 3986,6445 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 3986,6445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3986,6445) = 1

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

GCF(3986,6445) x common factors =1 x 1 = 1

LCM(3986,6445) = ( 3986 × 6445 ) / 1

LCM(3986,6445) = 25689770 / 1

LCM(3986,6445) = 25689770


Lets's calculate GCF of 904,1730

2 904, 1730
452, 865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25689770/2

Therefore the LCM of Fractions 3986/904,6445/1730 is 12844885

Greatest Common Factor of 904,1730 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,1730 By Matching Biggest Common Factor Method

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 1730

List of positive integer factors of 1730 that divides 1730 without a remainder.

1,2,5,10,173,346,865,1730

Greatest Common Factor

We found the factors 904,1730 . The biggest common factor number is the GCF number.
So the greatest common factor 904,1730 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3986/904, 6445/1730

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 3986/904, 6445/1730?

Answer: LCM of Numerators as per given numbers 3986/904, 6445/1730 is

LCM of Numerators i.e. for 3986,6445 is 25689770

GCF of denominators i.e. for 904,1730 is 2.

Thus, LCM of Fractions is 12844885.Finally, LCM of Fractions for 3986/904, 6445/1730 is 12844885.