Least Common Multiple of 2572/80, 3765/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2572/80, 3765/205 quickly i.e. 1936716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2572/80, 3765/205 is 1936716.

LCM(2572/80, 3765/205) = 1936716

LCM of 2572/80, 3765/205

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 2572/80,3765/205

Given numbers are 2572/80,3765/205

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 2572,3765

Least Common Multiple of Numerators i.e. LCM of 2572,3765 is 9683580.

GCF of Denominators means GCF of 80,205 as per the given fractions.

GCF of 80,205 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2572,3765

LCM of Fractions 2572/80,3765/205 is 1936716

Given numbers has no common factors except 1. So, there LCM is their product i.e 9683580

Least Common Multiple of 2572,3765 with GCF Formula

Least Common Multiple of 2572,3765 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 2572,3765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2572,3765) = 1

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

GCF(2572,3765) x common factors =1 x 1 = 1

LCM(2572,3765) = ( 2572 × 3765 ) / 1

LCM(2572,3765) = 9683580 / 1

LCM(2572,3765) = 9683580


Lets's calculate GCF of 80,205

5 80, 205
16, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9683580/5

Therefore the LCM of Fractions 2572/80,3765/205 is 1936716

Greatest Common Factor of 80,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,205 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 80,205 . The biggest common factor number is the GCF number.
So the greatest common factor 80,205 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2572/80, 3765/205

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 2572/80, 3765/205?

Answer: LCM of Numerators as per given numbers 2572/80, 3765/205 is

LCM of Numerators i.e. for 2572,3765 is 9683580

GCF of denominators i.e. for 80,205 is 5.

Thus, LCM of Fractions is 1936716.Finally, LCM of Fractions for 2572/80, 3765/205 is 1936716.