Least Common Multiple of 230/67, 347/96, 219/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 230/67, 347/96, 219/490 quickly i.e. 17478390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/67, 347/96, 219/490 is 17478390.

LCM(230/67, 347/96, 219/490) = 17478390

LCM of 230/67, 347/96, 219/490

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 230/67,347/96,219/490

Given numbers are 230/67,347/96,219/490

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 230,347,219

Least Common Multiple of Numerators i.e. LCM of 230,347,219 is 17478390.

GCF of Denominators means GCF of 67,96,490 as per the given fractions.

GCF of 67,96,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,347,219

LCM of Fractions 230/67,347/96,219/490 is 17478390

Given numbers has no common factors except 1. So, there LCM is their product i.e 17478390

Least Common Multiple of 230,347,219 with GCF Formula

Least Common Multiple of 230,347,219 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 230,347,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,347,219) = 1

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

GCF(230,347,219) x common factors =1 x 1 = 1

LCM(230,347,219) = ( 230 × 347 × 219 ) / 1

LCM(230,347,219) = 17478390 / 1

LCM(230,347,219) = 17478390


Lets's calculate GCF of 67,96,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17478390/1

Therefore the LCM of Fractions 230/67,347/96,219/490 is 17478390

Greatest Common Factor of 67,96,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,96,490 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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 67,96,490 . The biggest common factor number is the GCF number.
So the greatest common factor 67,96,490 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 230/67, 347/96, 219/490

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 230/67, 347/96, 219/490?

Answer: LCM of Numerators as per given numbers 230/67, 347/96, 219/490 is

LCM of Numerators i.e. for 230,347,219 is 17478390

GCF of denominators i.e. for 67,96,490 is 1.

Thus, LCM of Fractions is 17478390.Finally, LCM of Fractions for 230/67, 347/96, 219/490 is 17478390.