Least Common Multiple of 5075/50, 3589/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5075/50, 3589/645 quickly i.e. 3642835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5075/50, 3589/645 is 3642835.

LCM(5075/50, 3589/645) = 3642835

LCM of 5075/50, 3589/645

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 5075/50,3589/645

Given numbers are 5075/50,3589/645

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 5075,3589

Least Common Multiple of Numerators i.e. LCM of 5075,3589 is 18214175.

GCF of Denominators means GCF of 50,645 as per the given fractions.

GCF of 50,645 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5075,3589

LCM of Fractions 5075/50,3589/645 is 3642835

Given numbers has no common factors except 1. So, there LCM is their product i.e 18214175

Least Common Multiple of 5075,3589 with GCF Formula

Least Common Multiple of 5075,3589 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 5075,3589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5075,3589) = 1

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

GCF(5075,3589) x common factors =1 x 1 = 1

LCM(5075,3589) = ( 5075 × 3589 ) / 1

LCM(5075,3589) = 18214175 / 1

LCM(5075,3589) = 18214175


Lets's calculate GCF of 50,645

5 50, 645
10, 129

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18214175/5

Therefore the LCM of Fractions 5075/50,3589/645 is 3642835

Greatest Common Factor of 50,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,645 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 50,645 . The biggest common factor number is the GCF number.
So the greatest common factor 50,645 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5075/50, 3589/645

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 5075/50, 3589/645?

Answer: LCM of Numerators as per given numbers 5075/50, 3589/645 is

LCM of Numerators i.e. for 5075,3589 is 18214175

GCF of denominators i.e. for 50,645 is 5.

Thus, LCM of Fractions is 3642835.Finally, LCM of Fractions for 5075/50, 3589/645 is 3642835.