Least Common Multiple of 20/441, 348/356, 380/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/441, 348/356, 380/127 quickly i.e. 33060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/441, 348/356, 380/127 is 33060.

LCM(20/441, 348/356, 380/127) = 33060

LCM of 20/441, 348/356, 380/127

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 20/441,348/356,380/127

Given numbers are 20/441,348/356,380/127

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 20,348,380

Least Common Multiple of Numerators i.e. LCM of 20,348,380 is 33060.

GCF of Denominators means GCF of 441,356,127 as per the given fractions.

GCF of 441,356,127 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,348,380

LCM of Fractions 20/441,348/356,380/127 is 33060

2 20, 348, 380
2 10, 174, 190
5 5, 87, 95
1, 87, 19

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 87 x 19 = 33060

Least Common Multiple of 20,348,380 with GCF Formula

Least Common Multiple of 20,348,380 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 20,348,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,348,380) = 4

common factors(in case of two or more numbers have common factors) = 20

GCF(20,348,380) x common factors =4 x 20 = 80

LCM(20,348,380) = ( 20 × 348 × 380 ) / 80

LCM(20,348,380) = 2644800 / 80

LCM(20,348,380) = 33060


Lets's calculate GCF of 441,356,127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33060/1

Therefore the LCM of Fractions 20/441,348/356,380/127 is 33060

Greatest Common Factor of 441,356,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,356,127 By Matching Biggest Common Factor Method

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 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Greatest Common Factor

We found the factors 441,356,127 . The biggest common factor number is the GCF number.
So the greatest common factor 441,356,127 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 20/441, 348/356, 380/127

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 20/441, 348/356, 380/127?

Answer: LCM of Numerators as per given numbers 20/441, 348/356, 380/127 is

LCM of Numerators i.e. for 20,348,380 is 33060

GCF of denominators i.e. for 441,356,127 is 1.

Thus, LCM of Fractions is 33060.Finally, LCM of Fractions for 20/441, 348/356, 380/127 is 33060.