Least Common Multiple of 290/900, 321/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/900, 321/530 quickly i.e. 9309 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/900, 321/530 is 9309.

LCM(290/900, 321/530) = 9309

LCM of 290/900, 321/530

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 290/900,321/530

Given numbers are 290/900,321/530

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 290,321

Least Common Multiple of Numerators i.e. LCM of 290,321 is 93090.

GCF of Denominators means GCF of 900,530 as per the given fractions.

GCF of 900,530 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,321

LCM of Fractions 290/900,321/530 is 9309

Given numbers has no common factors except 1. So, there LCM is their product i.e 93090

Least Common Multiple of 290,321 with GCF Formula

Least Common Multiple of 290,321 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 290,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,321) = 1

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

GCF(290,321) x common factors =1 x 1 = 1

LCM(290,321) = ( 290 × 321 ) / 1

LCM(290,321) = 93090 / 1

LCM(290,321) = 93090


Lets's calculate GCF of 900,530

2 900, 530
5 450, 265
90, 53

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93090/10

Therefore the LCM of Fractions 290/900,321/530 is 9309

Greatest Common Factor of 900,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,530 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 900,530 . The biggest common factor number is the GCF number.
So the greatest common factor 900,530 is 10.


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 290/900, 321/530

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 290/900, 321/530?

Answer: LCM of Numerators as per given numbers 290/900, 321/530 is

LCM of Numerators i.e. for 290,321 is 93090

GCF of denominators i.e. for 900,530 is 10.

Thus, LCM of Fractions is 9309.Finally, LCM of Fractions for 290/900, 321/530 is 9309.