Least Common Multiple of 83/609, 25/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/609, 25/732 quickly i.e. 2075/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/609, 25/732 is 2075/3.

LCM(83/609, 25/732) = 2075/3

LCM of 83/609, 25/732

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 83/609,25/732

Given numbers are 83/609,25/732

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 83,25

Least Common Multiple of Numerators i.e. LCM of 83,25 is 2075.

GCF of Denominators means GCF of 609,732 as per the given fractions.

GCF of 609,732 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,25

LCM of Fractions 83/609,25/732 is 2075/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 2075

Least Common Multiple of 83,25 with GCF Formula

Least Common Multiple of 83,25 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 83,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,25) = 1

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

GCF(83,25) x common factors =1 x 1 = 1

LCM(83,25) = ( 83 × 25 ) / 1

LCM(83,25) = 2075 / 1

LCM(83,25) = 2075


Lets's calculate GCF of 609,732

3 609, 732
203, 244

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2075/3

Therefore the LCM of Fractions 83/609,25/732 is 2075/3

Greatest Common Factor of 609,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,732 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 609,732 . The biggest common factor number is the GCF number.
So the greatest common factor 609,732 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/609, 25/732

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 83/609, 25/732?

Answer: LCM of Numerators as per given numbers 83/609, 25/732 is

LCM of Numerators i.e. for 83,25 is 2075

GCF of denominators i.e. for 609,732 is 3.

Thus, LCM of Fractions is 2075/3.Finally, LCM of Fractions for 83/609, 25/732 is 2075/3.