Least Common Multiple of 513/61, 184/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 513/61, 184/639 quickly i.e. 94392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 513/61, 184/639 is 94392.

LCM(513/61, 184/639) = 94392

LCM of 513/61, 184/639

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 513/61,184/639

Given numbers are 513/61,184/639

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 513,184

Least Common Multiple of Numerators i.e. LCM of 513,184 is 94392.

GCF of Denominators means GCF of 61,639 as per the given fractions.

GCF of 61,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 513,184

LCM of Fractions 513/61,184/639 is 94392

Given numbers has no common factors except 1. So, there LCM is their product i.e 94392

Least Common Multiple of 513,184 with GCF Formula

Least Common Multiple of 513,184 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 513,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,184) = 1

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

GCF(513,184) x common factors =1 x 1 = 1

LCM(513,184) = ( 513 × 184 ) / 1

LCM(513,184) = 94392 / 1

LCM(513,184) = 94392


Lets's calculate GCF of 61,639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94392/1

Therefore the LCM of Fractions 513/61,184/639 is 94392

Greatest Common Factor of 61,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,639 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 61,639 . The biggest common factor number is the GCF number.
So the greatest common factor 61,639 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 513/61, 184/639

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 513/61, 184/639?

Answer: LCM of Numerators as per given numbers 513/61, 184/639 is

LCM of Numerators i.e. for 513,184 is 94392

GCF of denominators i.e. for 61,639 is 1.

Thus, LCM of Fractions is 94392.Finally, LCM of Fractions for 513/61, 184/639 is 94392.