Least Common Multiple of 3185/522, 5372/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3185/522, 5372/465 quickly i.e. 17109820/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3185/522, 5372/465 is 17109820/3.

LCM(3185/522, 5372/465) = 17109820/3

LCM of 3185/522, 5372/465

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 3185/522,5372/465

Given numbers are 3185/522,5372/465

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 3185,5372

Least Common Multiple of Numerators i.e. LCM of 3185,5372 is 17109820.

GCF of Denominators means GCF of 522,465 as per the given fractions.

GCF of 522,465 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3185,5372

LCM of Fractions 3185/522,5372/465 is 17109820/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 17109820

Least Common Multiple of 3185,5372 with GCF Formula

Least Common Multiple of 3185,5372 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 3185,5372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3185,5372) = 1

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

GCF(3185,5372) x common factors =1 x 1 = 1

LCM(3185,5372) = ( 3185 × 5372 ) / 1

LCM(3185,5372) = 17109820 / 1

LCM(3185,5372) = 17109820


Lets's calculate GCF of 522,465

3 522, 465
174, 155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17109820/3

Therefore the LCM of Fractions 3185/522,5372/465 is 17109820/3

Greatest Common Factor of 522,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,465 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 522,465 . The biggest common factor number is the GCF number.
So the greatest common factor 522,465 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3185/522, 5372/465

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 3185/522, 5372/465?

Answer: LCM of Numerators as per given numbers 3185/522, 5372/465 is

LCM of Numerators i.e. for 3185,5372 is 17109820

GCF of denominators i.e. for 522,465 is 3.

Thus, LCM of Fractions is 17109820/3.Finally, LCM of Fractions for 3185/522, 5372/465 is 17109820/3.