Least Common Multiple of 3643/125, 6730/8849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3643/125, 6730/8849 quickly i.e. 24517390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3643/125, 6730/8849 is 24517390.

LCM(3643/125, 6730/8849) = 24517390

LCM of 3643/125, 6730/8849

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 3643/125,6730/8849

Given numbers are 3643/125,6730/8849

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 3643,6730

Least Common Multiple of Numerators i.e. LCM of 3643,6730 is 24517390.

GCF of Denominators means GCF of 125,8849 as per the given fractions.

GCF of 125,8849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3643,6730

LCM of Fractions 3643/125,6730/8849 is 24517390

Given numbers has no common factors except 1. So, there LCM is their product i.e 24517390

Least Common Multiple of 3643,6730 with GCF Formula

Least Common Multiple of 3643,6730 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 3643,6730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3643,6730) = 1

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

GCF(3643,6730) x common factors =1 x 1 = 1

LCM(3643,6730) = ( 3643 × 6730 ) / 1

LCM(3643,6730) = 24517390 / 1

LCM(3643,6730) = 24517390


Lets's calculate GCF of 125,8849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24517390/1

Therefore the LCM of Fractions 3643/125,6730/8849 is 24517390

Greatest Common Factor of 125,8849 By Matching Biggest Common Factor Method

Greatest Common Factor of 125,8849 By Matching Biggest Common Factor Method

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 8849

List of positive integer factors of 8849 that divides 8849 without a remainder.

1,8849

Greatest Common Factor

We found the factors 125,8849 . The biggest common factor number is the GCF number.
So the greatest common factor 125,8849 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3643/125, 6730/8849

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 3643/125, 6730/8849?

Answer: LCM of Numerators as per given numbers 3643/125, 6730/8849 is

LCM of Numerators i.e. for 3643,6730 is 24517390

GCF of denominators i.e. for 125,8849 is 1.

Thus, LCM of Fractions is 24517390.Finally, LCM of Fractions for 3643/125, 6730/8849 is 24517390.