Least Common Multiple of 32/292, 90/105, 230/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/292, 90/105, 230/581 quickly i.e. 33120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/292, 90/105, 230/581 is 33120.

LCM(32/292, 90/105, 230/581) = 33120

LCM of 32/292, 90/105, 230/581

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 32/292,90/105,230/581

Given numbers are 32/292,90/105,230/581

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 32,90,230

Least Common Multiple of Numerators i.e. LCM of 32,90,230 is 33120.

GCF of Denominators means GCF of 292,105,581 as per the given fractions.

GCF of 292,105,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,90,230

LCM of Fractions 32/292,90/105,230/581 is 33120

2 32, 90, 230
5 16, 45, 115
16, 9, 23

∴ So the LCM of the given numbers is 2 x 5 x 16 x 9 x 23 = 33120

Least Common Multiple of 32,90,230 with GCF Formula

Least Common Multiple of 32,90,230 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 32,90,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,90,230) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(32,90,230) x common factors =2 x 10 = 20

LCM(32,90,230) = ( 32 × 90 × 230 ) / 20

LCM(32,90,230) = 662400 / 20

LCM(32,90,230) = 33120


Lets's calculate GCF of 292,105,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33120/1

Therefore the LCM of Fractions 32/292,90/105,230/581 is 33120

Greatest Common Factor of 292,105,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,105,581 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 292,105,581 . The biggest common factor number is the GCF number.
So the greatest common factor 292,105,581 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 32/292, 90/105, 230/581

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 32/292, 90/105, 230/581?

Answer: LCM of Numerators as per given numbers 32/292, 90/105, 230/581 is

LCM of Numerators i.e. for 32,90,230 is 33120

GCF of denominators i.e. for 292,105,581 is 1.

Thus, LCM of Fractions is 33120.Finally, LCM of Fractions for 32/292, 90/105, 230/581 is 33120.