Least Common Multiple of 90/326, 41/251, 319/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/326, 41/251, 319/230 quickly i.e. 1177110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/326, 41/251, 319/230 is 1177110.

LCM(90/326, 41/251, 319/230) = 1177110

LCM of 90/326, 41/251, 319/230

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 90/326,41/251,319/230

Given numbers are 90/326,41/251,319/230

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 90,41,319

Least Common Multiple of Numerators i.e. LCM of 90,41,319 is 1177110.

GCF of Denominators means GCF of 326,251,230 as per the given fractions.

GCF of 326,251,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,41,319

LCM of Fractions 90/326,41/251,319/230 is 1177110

Given numbers has no common factors except 1. So, there LCM is their product i.e 1177110

Least Common Multiple of 90,41,319 with GCF Formula

Least Common Multiple of 90,41,319 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 90,41,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,41,319) = 1

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

GCF(90,41,319) x common factors =1 x 1 = 1

LCM(90,41,319) = ( 90 × 41 × 319 ) / 1

LCM(90,41,319) = 1177110 / 1

LCM(90,41,319) = 1177110


Lets's calculate GCF of 326,251,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1177110/1

Therefore the LCM of Fractions 90/326,41/251,319/230 is 1177110

Greatest Common Factor of 326,251,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,251,230 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 326,251,230 . The biggest common factor number is the GCF number.
So the greatest common factor 326,251,230 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/326, 41/251, 319/230

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 90/326, 41/251, 319/230?

Answer: LCM of Numerators as per given numbers 90/326, 41/251, 319/230 is

LCM of Numerators i.e. for 90,41,319 is 1177110

GCF of denominators i.e. for 326,251,230 is 1.

Thus, LCM of Fractions is 1177110.Finally, LCM of Fractions for 90/326, 41/251, 319/230 is 1177110.