Least Common Multiple of 11/190, 401/578, 267/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/190, 401/578, 267/225 quickly i.e. 1177737 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/190, 401/578, 267/225 is 1177737.

LCM(11/190, 401/578, 267/225) = 1177737

LCM of 11/190, 401/578, 267/225

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 11/190,401/578,267/225

Given numbers are 11/190,401/578,267/225

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 11,401,267

Least Common Multiple of Numerators i.e. LCM of 11,401,267 is 1177737.

GCF of Denominators means GCF of 190,578,225 as per the given fractions.

GCF of 190,578,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,401,267

LCM of Fractions 11/190,401/578,267/225 is 1177737

Given numbers has no common factors except 1. So, there LCM is their product i.e 1177737

Least Common Multiple of 11,401,267 with GCF Formula

Least Common Multiple of 11,401,267 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 11,401,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,401,267) = 1

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

GCF(11,401,267) x common factors =1 x 1 = 1

LCM(11,401,267) = ( 11 × 401 × 267 ) / 1

LCM(11,401,267) = 1177737 / 1

LCM(11,401,267) = 1177737


Lets's calculate GCF of 190,578,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1177737/1

Therefore the LCM of Fractions 11/190,401/578,267/225 is 1177737

Greatest Common Factor of 190,578,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 190,578,225 By Matching Biggest Common Factor Method

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 190,578,225 . The biggest common factor number is the GCF number.
So the greatest common factor 190,578,225 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 11/190, 401/578, 267/225

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 11/190, 401/578, 267/225?

Answer: LCM of Numerators as per given numbers 11/190, 401/578, 267/225 is

LCM of Numerators i.e. for 11,401,267 is 1177737

GCF of denominators i.e. for 190,578,225 is 1.

Thus, LCM of Fractions is 1177737.Finally, LCM of Fractions for 11/190, 401/578, 267/225 is 1177737.