Least Common Multiple of 23/221, 990/298, 314/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/221, 990/298, 314/490 quickly i.e. 3574890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/221, 990/298, 314/490 is 3574890.

LCM(23/221, 990/298, 314/490) = 3574890

LCM of 23/221, 990/298, 314/490

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 23/221,990/298,314/490

Given numbers are 23/221,990/298,314/490

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 23,990,314

Least Common Multiple of Numerators i.e. LCM of 23,990,314 is 3574890.

GCF of Denominators means GCF of 221,298,490 as per the given fractions.

GCF of 221,298,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,990,314

LCM of Fractions 23/221,990/298,314/490 is 3574890

2 23, 990, 314
23, 495, 157

∴ So the LCM of the given numbers is 2 x 23 x 495 x 157 = 3574890

Least Common Multiple of 23,990,314 with GCF Formula

Least Common Multiple of 23,990,314 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 23,990,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,990,314) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,990,314) x common factors =1 x 2 = 2

LCM(23,990,314) = ( 23 × 990 × 314 ) / 2

LCM(23,990,314) = 7149780 / 2

LCM(23,990,314) = 3574890


Lets's calculate GCF of 221,298,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3574890/1

Therefore the LCM of Fractions 23/221,990/298,314/490 is 3574890

Greatest Common Factor of 221,298,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,298,490 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 221,298,490 . The biggest common factor number is the GCF number.
So the greatest common factor 221,298,490 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 23/221, 990/298, 314/490

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 23/221, 990/298, 314/490?

Answer: LCM of Numerators as per given numbers 23/221, 990/298, 314/490 is

LCM of Numerators i.e. for 23,990,314 is 3574890

GCF of denominators i.e. for 221,298,490 is 1.

Thus, LCM of Fractions is 3574890.Finally, LCM of Fractions for 23/221, 990/298, 314/490 is 3574890.