Least Common Multiple of 290/361, 580/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/361, 580/413 quickly i.e. 580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/361, 580/413 is 580.

LCM(290/361, 580/413) = 580

LCM of 290/361, 580/413

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 290/361,580/413

Given numbers are 290/361,580/413

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 290,580

Least Common Multiple of Numerators i.e. LCM of 290,580 is 580.

GCF of Denominators means GCF of 361,413 as per the given fractions.

GCF of 361,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,580

LCM of Fractions 290/361,580/413 is 580

2 290, 580
5 145, 290
29 29, 58
1, 2

∴ So the LCM of the given numbers is 2 x 5 x 29 x 1 x 2 = 580

Least Common Multiple of 290,580 with GCF Formula

Least Common Multiple of 290,580 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 290,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,580) = 290

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

GCF(290,580) x common factors =290 x 1 = 290

LCM(290,580) = ( 290 × 580 ) / 290

LCM(290,580) = 168200 / 290

LCM(290,580) = 580


Lets's calculate GCF of 361,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580/1

Therefore the LCM of Fractions 290/361,580/413 is 580

Greatest Common Factor of 361,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,413 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 361,413 . The biggest common factor number is the GCF number.
So the greatest common factor 361,413 is 1.


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 290/361, 580/413

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 290/361, 580/413?

Answer: LCM of Numerators as per given numbers 290/361, 580/413 is

LCM of Numerators i.e. for 290,580 is 580

GCF of denominators i.e. for 361,413 is 1.

Thus, LCM of Fractions is 580.Finally, LCM of Fractions for 290/361, 580/413 is 580.