Least Common Multiple of 11/675, 19/916, 668/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/675, 19/916, 668/441 quickly i.e. 139612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/675, 19/916, 668/441 is 139612.

LCM(11/675, 19/916, 668/441) = 139612

LCM of 11/675, 19/916, 668/441

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 11/675,19/916,668/441

Given numbers are 11/675,19/916,668/441

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 11,19,668

Least Common Multiple of Numerators i.e. LCM of 11,19,668 is 139612.

GCF of Denominators means GCF of 675,916,441 as per the given fractions.

GCF of 675,916,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,19,668

LCM of Fractions 11/675,19/916,668/441 is 139612

Given numbers has no common factors except 1. So, there LCM is their product i.e 139612

Least Common Multiple of 11,19,668 with GCF Formula

Least Common Multiple of 11,19,668 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 11,19,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,19,668) = 1

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

GCF(11,19,668) x common factors =1 x 1 = 1

LCM(11,19,668) = ( 11 × 19 × 668 ) / 1

LCM(11,19,668) = 139612 / 1

LCM(11,19,668) = 139612


Lets's calculate GCF of 675,916,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139612/1

Therefore the LCM of Fractions 11/675,19/916,668/441 is 139612

Greatest Common Factor of 675,916,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,916,441 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 675,916,441 . The biggest common factor number is the GCF number.
So the greatest common factor 675,916,441 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 11/675, 19/916, 668/441

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 11/675, 19/916, 668/441?

Answer: LCM of Numerators as per given numbers 11/675, 19/916, 668/441 is

LCM of Numerators i.e. for 11,19,668 is 139612

GCF of denominators i.e. for 675,916,441 is 1.

Thus, LCM of Fractions is 139612.Finally, LCM of Fractions for 11/675, 19/916, 668/441 is 139612.