Least Common Multiple of 3689/447, 4332/6505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3689/447, 4332/6505 quickly i.e. 15980748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3689/447, 4332/6505 is 15980748.

LCM(3689/447, 4332/6505) = 15980748

LCM of 3689/447, 4332/6505

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 3689/447,4332/6505

Given numbers are 3689/447,4332/6505

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 3689,4332

Least Common Multiple of Numerators i.e. LCM of 3689,4332 is 15980748.

GCF of Denominators means GCF of 447,6505 as per the given fractions.

GCF of 447,6505 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3689,4332

LCM of Fractions 3689/447,4332/6505 is 15980748

Given numbers has no common factors except 1. So, there LCM is their product i.e 15980748

Least Common Multiple of 3689,4332 with GCF Formula

Least Common Multiple of 3689,4332 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 3689,4332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3689,4332) = 1

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

GCF(3689,4332) x common factors =1 x 1 = 1

LCM(3689,4332) = ( 3689 × 4332 ) / 1

LCM(3689,4332) = 15980748 / 1

LCM(3689,4332) = 15980748


Lets's calculate GCF of 447,6505

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15980748/1

Therefore the LCM of Fractions 3689/447,4332/6505 is 15980748

Greatest Common Factor of 447,6505 By Matching Biggest Common Factor Method

Greatest Common Factor of 447,6505 By Matching Biggest Common Factor Method

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 6505

List of positive integer factors of 6505 that divides 6505 without a remainder.

1,5,1301,6505

Greatest Common Factor

We found the factors 447,6505 . The biggest common factor number is the GCF number.
So the greatest common factor 447,6505 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3689/447, 4332/6505

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 3689/447, 4332/6505?

Answer: LCM of Numerators as per given numbers 3689/447, 4332/6505 is

LCM of Numerators i.e. for 3689,4332 is 15980748

GCF of denominators i.e. for 447,6505 is 1.

Thus, LCM of Fractions is 15980748.Finally, LCM of Fractions for 3689/447, 4332/6505 is 15980748.