Least Common Multiple of 3/20, 49/441, 17/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/20, 49/441, 17/352 quickly i.e. 2499 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/20, 49/441, 17/352 is 2499.

LCM(3/20, 49/441, 17/352) = 2499

LCM of 3/20, 49/441, 17/352

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 3/20,49/441,17/352

Given numbers are 3/20,49/441,17/352

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 3,49,17

Least Common Multiple of Numerators i.e. LCM of 3,49,17 is 2499.

GCF of Denominators means GCF of 20,441,352 as per the given fractions.

GCF of 20,441,352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,49,17

LCM of Fractions 3/20,49/441,17/352 is 2499

Given numbers has no common factors except 1. So, there LCM is their product i.e 2499

Least Common Multiple of 3,49,17 with GCF Formula

Least Common Multiple of 3,49,17 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 3,49,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,49,17) = 1

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

GCF(3,49,17) x common factors =1 x 1 = 1

LCM(3,49,17) = ( 3 × 49 × 17 ) / 1

LCM(3,49,17) = 2499 / 1

LCM(3,49,17) = 2499


Lets's calculate GCF of 20,441,352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2499/1

Therefore the LCM of Fractions 3/20,49/441,17/352 is 2499

Greatest Common Factor of 20,441,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,441,352 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

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

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 20,441,352 . The biggest common factor number is the GCF number.
So the greatest common factor 20,441,352 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 3/20, 49/441, 17/352

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 3/20, 49/441, 17/352?

Answer: LCM of Numerators as per given numbers 3/20, 49/441, 17/352 is

LCM of Numerators i.e. for 3,49,17 is 2499

GCF of denominators i.e. for 20,441,352 is 1.

Thus, LCM of Fractions is 2499.Finally, LCM of Fractions for 3/20, 49/441, 17/352 is 2499.