Least Common Multiple of 413/85, 662/3190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 413/85, 662/3190 quickly i.e. 273406/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 413/85, 662/3190 is 273406/5.

LCM(413/85, 662/3190) = 273406/5

LCM of 413/85, 662/3190

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 413/85,662/3190

Given numbers are 413/85,662/3190

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 413,662

Least Common Multiple of Numerators i.e. LCM of 413,662 is 273406.

GCF of Denominators means GCF of 85,3190 as per the given fractions.

GCF of 85,3190 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 413,662

LCM of Fractions 413/85,662/3190 is 273406/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 273406

Least Common Multiple of 413,662 with GCF Formula

Least Common Multiple of 413,662 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 413,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,662) = 1

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

GCF(413,662) x common factors =1 x 1 = 1

LCM(413,662) = ( 413 × 662 ) / 1

LCM(413,662) = 273406 / 1

LCM(413,662) = 273406


Lets's calculate GCF of 85,3190

5 85, 3190
17, 638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273406/5

Therefore the LCM of Fractions 413/85,662/3190 is 273406/5

Greatest Common Factor of 85,3190 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,3190 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 3190

List of positive integer factors of 3190 that divides 3190 without a remainder.

1,2,5,10,11,22,29,55,58,110,145,290,319,638,1595,3190

Greatest Common Factor

We found the factors 85,3190 . The biggest common factor number is the GCF number.
So the greatest common factor 85,3190 is 5.


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 413/85, 662/3190

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 413/85, 662/3190?

Answer: LCM of Numerators as per given numbers 413/85, 662/3190 is

LCM of Numerators i.e. for 413,662 is 273406

GCF of denominators i.e. for 85,3190 is 5.

Thus, LCM of Fractions is 273406/5.Finally, LCM of Fractions for 413/85, 662/3190 is 273406/5.